Quadratic Functions: Factored Form

Which function has a vertex at the origin?

f(x) = -x^2

Which function has two x-intercepts, one at (0, 0) and one at (4, 0)?

f(x) = x(x − 4)

What is the y-intercept of the quadratic function f(x) = (x - 8)(x + 3)?

(0,-24)

What is the y-intercept of the quadratic function f(x) = (x - 6)(x - 2)?

(0,12)

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

(3,0)

The graph of the function f(x) = -(x + 3)(x - 1) is shown below. What is true about the domain and range of the function?

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

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 where x < 1.5.

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.

The graph of the function f(x) = -(x + 3)(x - 1) is shown below. Which statement about the function is true?

The function is negative for all real values of x where x < -3 and where x > 1.

The graph of the function f(x) = (x +2)(x + 6) is shown below. What is true about the domain and range of the function?

The domain is all real numbers, and the range is all real numbers greater than or equal to -4.