SAT Practice Quadratic

• 9

• 0

• -15

• -6

The graph of the quadratic function f is shown in the xy-plane. Which of the following are the coordinates of the y-intercept of f?

• (4,0)

• (0,4)

• (0,-9)

• (0,-8)

The function g is shown in the xy-plane, and the function f (not shown) is defined by f(x)=x^2+4x+3. Which of the following statements must be true?

I. The minimum value of f is greater than the minimum value of g II. The y-intercept of f is less than the y-intercept of g
III. The functions f and g intersect on the x-axis.

• I only

• III only

• II only

• I and II only

The vertex of the parabola in the xy-plane is (0, c). Which of the following is true about the parabola with the equation y=-a\left(x-b\right)^2+c?

• The vertex is (b,c) and the graph opens downward.

• The vertex is (b,c) and the graph opens upward.

• The vertex is (-b,c) and the graph opens downward.

• The vertex is (-b,c) and the graph opens upward.

If the given expression is rewritten in the form (2x - 3)(x + k) where k is a constant, what is the value of k?

In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c ?

• -2

• 0

• 1

• 2

• A
• B
• C
• D

• A
• B
• C
• D