OPT 4 Mastery Test Review #2

Write a quadratic function in factored form that represents a parabola that opens downward and has x-intercepts (-7, 0) and (-4, 0).

• -a(x + 7)(x + 4)

• a(x + 7)(x - 4)

• -a(x - 7)(x - 4)

• a(x - 7)(x + 4)

Write a quadratic function in factored form that represents a parabola that opens upward and has x-intercepts (9, 0) and (2, 0).

• y = (x -9)(x + 2)

• y = (x + 9)(x + 2)

• y = (x - 9)(x - 2)

• y = (x + 9)(x - 2)

Determine the vertex of each quadratic function given in vertex form.

• (-3,-2)

• f(x) = (x - 4)² + 3

• (-5,2)

• f(x) = (x + 3)² - 2

• (6,-7)

• f(x) = -3(x + 5)² + 2

• (4,3)

• f(x) = -(x - 6)² - 7

Write a function that represents a parabola that opens downward and has a vertex of (-3, -1).

​ ​ ​ (a)  

• f(x) = (x + 3)^2 - 1
• f(x) = -(x + 3)^2 - 1
• f(x) = (x - 3)^2 - 1
• f(x) = (x - 3)^2 + 1

What is the absolute minimum of the function f(x) = x² + 8x?

What is the axis of symmetry for a parabola with x-intercepts (7,0) and (-5,0)?
x =

What is the vertex of a parabola represented by f(x) = 3(x + 2)^2 - 5?

• (-2, -5)

• (2, 5)

• (-2, 5)

• (2, -5)

Consider the quadratic function: b. g(x) = -2x^2 + 4x - 1 g(x) opens __________ and the y-intercept is (_______.

• upwards, (0, -1)

• downwards, (0, -1)

• upwards, (-1, 0)

• downwards, (-1, 0)

Consider the quadratic function: f(x) = 2(x + 3)(x - 4) f(x) opens __________ and the x-intercepts are (_______) and (_______).

• upwards, (-3, 0) and (4, 0)

• downwards, (-3, 0) and (4, 0)

• upwards, (0, -3) and (0, 4)

• downwards, (0, -3) and (0, 4)