2023 Category 4

Which function best represents h?

• h(x) = x² + 2x - 3

• h(x) = x² - 2x - 3

• h(x) = x² + 4x + 3

• h(x) = x² - 4x + 3

Which statement about f(x) = 4x² - 36x + 81 is true?

Which statement about the function n(x) = 5x² - 20x + 12 is true?

• The domain of the function x ≥ 2

• The range of the function is n(x) ≥ -8

• The domain of the function x ≥ 0

• The range of the function is n(x) ≤ 12

A quadratic function can be used to model the data in the table. Which value best estimates the miles per gallon when the speed is 65 miles per hour?

• 27.9

• 31.0

• 40.2

• 24.9

The graph of a quadratic function is shown on the grid. Which statement appears to be true?

• The function has 3 zeros.

• The maximum value of the function is 3.

• The vertex of the graph of the function is (4, 1).

• The equation of the axis of symmetry of the graph of the function is x = -1.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through (3, 10)?

• y = 9 (x – 3)² + 10

• y = 9 (x – 1)² + 46

• y = –9 (x – 3)² + 10

• y = –9 (x – 1)² + 46

What is the range of the quadratic function g based on the given points?

• 3
• 9
• -9
• 0
• -3

Function k is defined as k (x) = x² + 32x + 248. What are the solutions to k (x) = 0?

The graph of a quadratic function is shown. Which values best represent the zeros of the function? Select TWO correct answers.

• x = −3

• x = −4

• x = 3

• x = −1

• x = 1