Quadratic Transformations Review

• Both

• Neither

• Fred

• Wilma

The graph of f(x) = x²

was transformed to create the graph of g(x) = 2x

Which of these describes the transformation from the graph of f(x) to the graph of g(x)?

• Vertical Compression

• Vertical Stretch

• Shift Up 2

• Shift Down 2

Which equation matches the transformation in the image?

Mr. Taylor graphs the function g(x) = -5(x - 2)² + 3. Which of the following statements are true of g(x)? Select two correct answers.

• The parabola opens up

• The parabola opens down

• The vertex is (2, 3)

• The parabola has a minimum at 3.

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. What is the range and the domain of the function?

• D: 0 ≤ x ≤ 6

  R: 0 ≤ y ≤ 145

• D: All Real Numbers

  R: y ≤ 145

• D: 0 ≤ y ≤ 145

  R: 0 ≤ x ≤ 6

• All RealNumbers

• It stretches vertically and appears narrower.

• It compresses vertically and appears wider.

• It shifts vertically up.

• It shifts horizontally to the right.

Write a quadratic function in standard form with a vertex of (3, 4) and passes through (4, -2).

• -6x² + 36x - 50

• -3x² + 18x - 24

• -6x² + 36x - 58

• -3x² + 36x - 54

Which function has a vertex of (1, 5)?

• -x² + 4x + 12

• 3x² - 6x + 8

• 2x² - 2x - 5

• x² + 4x + 10

The quadratic function f is shown on the graph. Which of the following is NOT a true statement?

• Zeros are -1 and 3

• The vertex is (1, -4)

• The maximum is at -4

• The y-intercept is (0, -3)

Given the equation y = 3(x + 5)² - 4,

what is the vertex of the parabola?

​ (​ (a)   ,​ (b)   )

​

• 5

• 4

• -5

• -4