f(x)=a(x-h)^2+k |
Vertex of a quadratic function (formula) |

What is the axis of symmetry and vertex for the function f(x) = 3(x – 2)2 + 4? |
x = 2 Vertex: (2, 4) |

Which best describes the transformation from the graph of f(x) = x2 to the graph of |
right 3 units, down 1 unit |

The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located at (9, -8). What are the values of h and k? g(x) = (x – )^2 + |
9 -8 |

What is the equation of the translated function? |
f(x) = (x + 1)2 + 5 |

Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing? |
(-∞, -3) |

Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply. The domain is all real numbers. |
The domain is all real numbers. The y-intercept is 3. |

Justine graphs the function f(x) = (x – 7)2 – 1. On the same grid, she graphs the function |
left 13 units, down 2 units |

The graph of which function is decreasing over the interval (-4, ∞)? f(x) = (x + 4)2 + 4 |
f(x) = (x – 4)2 – 4 – INCORRECT |

What is the equation of the translated function, g(x), if g(x) = (x + 5)2 + 2 |
g(x) = (x – 5)2 + 2 |

Over what interval is the graph of f(x) = -(x + 8)2 – 1 decreasing? |
(-8, ∞) |

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3? |
right 2, up 3 |

Which function has a range of {y|y ≤ 5}? |
f(x) = -(x – 4)2 + 5 |

What value represents the vertical translation from the graph of the parent function f(x) = x2 to the graph of the function |
3 |

The graph of f(x) = x2 is translated to form |
A |

Sanjay begins to correctly graph the function f(x) = (x + 1)2 – 3. Based on the axis of symmetry and the vertex, which graph could be Sanjay’s? |
C |

Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 + 6 |
f(x) = (x – 8)2 – 6 |

What is the y-intercept of the quadratic function (8,0) |
(0,-24) |

What is the midpoint of the x-intercepts of (-3,0) |
(3,0) |

Which function has two x-intercepts, one at (0, 0) and one at (4, 0)? f(x) = x(x − 4) |
f(x) = x(x − 4) |

Which point is an x-intercept of the quadratic function (0,6) |
(-6,0) |

What is the axis of symmetry of the function f(x) = -(x + 9)(x – 21)? The axis of symmetry is x = |
6 |

The graph of the function f(x) = (x – 4)(x + 1) is shown below. Which statement about the function is true? The function is increasing for all real values of x where |
The function is decreasing for all real values of x where x < 1.5. |

Which is the graph of f(x) = -(x + 3)(x + 1)? |
B |

The graph of the function f(x) = -(x + 6)(x + 2) is shown below. Which statement about the function is true? The function is increasing for all real values of x where |
The function is increasing for all real values of x where x < -4. |

The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b? |
-3 |

The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph? (−5, 41) |
(−5, 41) |

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph? (−9, −2) |
(−2, −9) |

The graph of which function has a y-intercept of 3? |
A |

Which is the graph of f(x) = x2 – 2x + 3? |
NOT C, C IS INCORRECT |

The graph of which function has an axis of symmetry at x = 3? |
d |

The axis of symmetry for the graph of the function f(x) = 3×2 + bx + 4 is x = . What is the value of b? |
-9 |

Tempestt graphs a function that has a maximum located at (-4, 2). Which could be her graph? |
C |

What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12? (-6, 0), (2,0) |
(-6, 0), (2,0) |

liana started to evaluate the function f(x) = 2×2 – 3x + 7 for the input value 2. f(x) = 2(2)2 – 3(2) + 7 = 2(4) – 3(2) + 7 What is the value of the function when x = 2? 9 |
9 |

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 + 7c – 4c2 – 3c + 4 -4c2 + 4c + 6 |
-4c2 + 4c + 6 |

1 2 3 5 6 8 9 10 Assuming that the throw represents projectile motion, what are the missing values in the table? A = 5, B = 3 |
A = 4, B = 3 |

Which quadratic function is represented by the table? f(x) = 3×2 + 2x – 5 |
f(x) = 3×2 – 2x + 5 |

Consider the quadratic function f(y) = 8y2 – 7y + 6. What is the constant of the function? |
6 |

What is f(-3) for the function f(a) = -2a2 – 5a + 4? |
1 |

Which quadratic function has a leading coefficient of 2 and a constant term of -3? f(x) = 2×3 – 3 |
f(x) = 2×2 + 3x – 3 |

Which represents a quadratic function? f(x) = 2×3 + 2×2 – 4 |
f(x) = -7×2 – x + 2 |

What is true about the function h(x) = x2 + 20x – 17? Check all that apply. |
The vertex of h is: (-10, -117). To graph the function h, shift the graph of f(x) = x² left 10 units and down 117 units. |

The function g(x) = 3×2 − 12x + 7 written in vertex form is g(x) = 3(x − 2)2 − 5. What is the vertex of g(x)? (−6, −5) (−2, −5) |
(2, −5) |

The function g(x) = -x2 + 16x – 44 written in vertex form is g(x) = -(x – 8)2 + 20. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = -x2 + 16x – 44? The graph of f(x) = x2 is widened. |
The graph of f(x) = x2 is reflected over t |

The function h(x) = -2×2 + 8x written in vertex form is h(x) = -2(x – 2)2 + 8. The function h(x) is shown on the graph along with the parent function, f(x) = x2. Which statement is true concerning the vertex and axis of symmetry of h(x)? The vertex is at (0, 0) and the axis of symmetry is x = 2. |
The vertex is at (2, 8) and the axis of symmetry is x = 2. |

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2? g(x) = -9(x2 + 2x + 1) – 7 |
g(x) = 8(x2 – 6x + 9) – 5 |

The function g(x) = -3×2 – 36x – 60 written in vertex form is g(x) = -3(x + 6)2 + 48. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = -3×2 – 36x – 60? The graph of f(x) = x2 is made narrower. |
The graph of f(x) = x2 is made narrower. |

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4×2 + 24x + 30? The graph of f(x) = x2 is widened. |
The graph of f(x) = x2 is shifted left 3 units. |

What is f(x) = 8×2 + 4x written in vertex form? f(x) = 8 – |
A |

What is f(x) = 2×2 + 28x – 5 written in vertex form? f(x) = 2(x + 7)2 – 19 |
f(x) = 2(x + 7)2 – 103 |

The first three steps in writing f(x) = 40x + 5×2 in vertex form are shown. Write the function in standard form. f(x) = 5×2 + 40x f(x) = 5(x + 4) – 80 |
f(x) = 5(x + 4)2 – 80 |

The function g(x) = 10×2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Check all that apply. The axis of symmetry is the line x = -5. |
The vertex of the graph is (5, -37). The parabola has a minimum. The parabola opens up. |

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3? f(x) = (x + 3)2 + 3 |
f(x) = (x + 3)2 − 6 |

Which zero pair could be added to the function so that the function can be written in vertex form? 3, -3 |
36, -36 |

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x? f(x) = (x – 1)2 + 3 |
f(x) = (x – 1)2 + 3 |

Which value is needed to create a perfect square trinomial from the expression x2 + 8x + _____? |
16 |

The function f(x) = x2 + 10x – 3 written in vertex form is f(x) = (x + 5)2 – 28. What are the coordinates of the vertex? (-5, -28) |
(-5, -28) |

Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Check all that apply. The vertex form of the function is f(x) = (x – 2)2 + 2. |
The vertex of the function is (-3, -13). The graph increases over the interval (-3, ). |

What value for c will make the expression a perfect square trinomial? x2 – 7x + c |
49/4 |

Charla wants to determine the vertex of the function f(x) = x2 – 18x + 60 by changing the function into vertex form. Which statement about the vertex of the function is true? The x-coordinate of the vertex is greater than the y-coordinate. |
The x-coordinate of the vertex is greater than the y-coordinate. |

How many unit tiles need to be added to the expression |
1 |

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = -8x + x2 + 7 ? left 4, down 9 |
right 4, down 9 |

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)? |
g(x) = (x – 2)2 + k |

Which function has a vertex on the y-axis? f(x) = (x – 2)2 |
f(x)= (x-2)(x+2) |

What is the y-value of the vertex of the function f(x) = -(x + 8)(x – 14)? The y-value of the vertex is |
y = 121 |

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Check all that apply. The domain is {x| x ≥ 3}. |
The range is {y| y ≥ -1}. The function decreases over the interval (-∞, 3). The vertex is (3, -1). |

Which function has a vertex on the y-axis? f(x) = (x – 2)2 |
f(x) = (x – 2)(x + 2) |

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)? g(x) = (x − 7)2 − 3 |
g(x) = (x + 7)2 − 3 |

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2? right 5, down 23 |
right 5, down 23 |

The graph of the function f(x) = (x + 2)(x − 4) is shown. Which describes all of the values for which the graph is negative and increasing? all real values of x where x < −2 |
all real values of x where 1 < x < 4 |

What is the axis of symmetry of h(x) = 6×2 − 60x + 147? x = −5 |
x = 5 |

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6? left 3 units, down 3 units |
right 3 units, down 3 units |

The graph of the function f(x) = −3×2 − 3x + 6 is shown. Which statements describe the graph? Check all that apply.
The vertex is the maximum value. |
The vertex is the maximum value. The axis of symmetry is x = . The domain is all real numbers. The x-intercepts are at (−2, 0) and (1,0). |

What is the y-value of the vertex of the function f(x) = -(x – 3)(x + 11)? The y-value of the vertex is |
49 |

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36? (−4, 0) and (9, 0) |
(4, 0) and (−9, 0) |

# Quadratic Functions Unit Test

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