Quadratic Functions Test

The graph of quadratic function h is shown below. What are the zero(s) of h?

• A. 14
• B. 11 and 6
• C. -2 and 6
• D. -2

How does the function below compare to the quadratic parent function f(x)=x²?

(Graph on Desmos and compare.)

• The new graph is wider, shifted 2 units left and 1 unit down.
• The new graph is narrower, shifted 2 units right and 1 unit up.
• The new graph is wider, shifted 2 units left and 1 unit up.
• The new graph is narrower, shifted 2 units right and 1 unit down.

How does the function below compare to the quadratic parent function f(x)=x²?

(Graph on Desmos and compare.)

• The new graph is wider, shifted 4 units left and 2 unit down.

• The new graph is narrower, shifted 4 units right and 2 unit up.

• The new graph is wider, shifted 4 units left and 2 unit up.

• The new graph is narrower, shifted 4 units right and 2 unit down.

Mrs. Friedlein graphed the quadratic function shown. Carla and Martin made the following statements about the graph. Who is correct?

• A. Carla only
• B. Martin only
• C. Both students are correct
• D. Neither student is correct

Write the axis of symmetry equation for the quadratic function shown. (Hint: Must be answered in the form x=___)

Which of the following is a factor of the polynomial shown below?

• A. (x + 2)
• B. (x - 2)
• C. (x - 9)
• D. (x + 3)

Mason is playing with a stomp rocket. The graph shows h(x), the height of the rocket over time. Which of the following represents the domain of the graph?

• A. all real numbers
• B. x ≥ 0
• C. 0 ≤ y ≤ 12
• D. 0 ≤ x ≤ 2.8

Which of the following best represents the range of the graph?

• A. y ≤ 1.4
• B. y ≤ 9.8
• C. 0 ≤ y ≤ 9.8
• D. 0 ≤ y ≤ 2.8

(Graph on Desmos.)

• A. I only
• B. II only
• C. I and III only
• D. I, II, and III

Victoria hit a golf ball from a platform 15 feet above the ground. The height, h(x), of Victoria’s golf ball at various distances from the platform is shown. Which function represents this data?

(Hint: Use DESMOS to create the table from the equations.)

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