MATH UNIT TEST 2

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

(-2, 1)

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function g(x)=(x−4)2+2?

4

TAble shows x f() -2 21 -1 10 0 5 1 6 2 13 Which quadratic function is represented by the table?

f(x) = 3x2 - 2x + 5

What is the equation of the translated function, g(x), iff(x) = x2?

g(x) = (x + 4)2 + 6

For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?

The y-intercrept will always be the vertex

Which function has only one x-intercept at (−6, 0)?

f(x) = (x + 6)(x + 6)

The graph shows the axis of symmetry for a quadratic function f(x). vertex is 4 Which could be the function?

f(x) = (x - 4)2

What is f(x) = 2x2 + 28x - 5 written in vertex form?

f(x) = 2(x + 7)2 - 103

The graph of the function f(x) = (x - 4)(x + 1) is shown below. Which statement about the function is true?

The function is decreasing for all real values of x wherex < 1.5.

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?

left 3, up 4

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

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

under -2, under 1 near the

Which graph shows the axis of symmetry for the function f(x) = (x - 2)2 + 1?

vertex 2

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)

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x - 3)?

(-6,0)

Which graph represents a quadratic function with a vertex at (0, 0)?

(0, 0)? 3rd graph

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?

(0, 5)

What is the vertex of g(x) = 3x2 − 12x + 7?

(2, −5)

What is the vertex of g(x) = -3x2 + 18x + 2?

(3, 29)

What is the midpoint of the x-intercepts off(x) = (x - 2)(x - 4)?

(3,0)

What is the vertex of g(x) = 8x2 - 64x?

(4, -128)

The graph of f(x) = x2 is translated to form g(x) = (x - 5)2 + 1. Which graph represents g(x)?

(5, 1)

What is the x-intercept of the graph of the function f(x) = x2 − 16x + 64?

(8,0)

Which is the graph of f(x) = (x - 1)(x + 4)?

(beween 2 and 1, 6)

The axis of symmetry for the graph of the function is x=6. What is the value of b?

-3

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

-4, 2

The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is . What is the value of b?

-9

Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?

1 to 2.5

Consider the quadratic function f(x)=8x2−7x+6. What is the constant of the function?

6

liana started to evaluate the function f(x) = 2x2 - 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

The graph of the function f(x) = (x + 2)(x + 6) is shown below. Which statement about the function is true?

The function is negative for all real values of x where-6 < x < -2.

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = -3x2 - 36x - 60?

The graph of f(x) = x2 is made narrower.

Which function has a range of {y|y ≤ 5}?

f(x) = -(x - 4)2 + 5

Which represents a quadratic function?

f(x) = -7x2 - x + 2

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

f(x) = x2 - 6x - 1 graph