Question

the graph of a quadratic function is shown. which of the following statements is true regarding the zero(s) of the function? point c represents the only zero of the function. point d represents the only zero of the function. point a and point b represent the zeros of the function. none of these points represent the zero(s) of the function.

Explanation:

Step1: Define zeros of quadratic function

Zeros of a quadratic function are the x-values where the graph intersects the horizontal x-axis (i.e., where $y=0$).

Step2: Analyze given graph

The quadratic function's graph (the parabola) does not intersect the horizontal x-axis at points A, B, C, or D. Points A and B lie on the vertical line, while C and D are on the parabola but not on the x-axis.

Step3: Match with options

Since none of the marked points correspond to the x-axis intersections (zeros) of the quadratic function, the correct statement is that none of these points represent the zero(s).

Answer:

None of these points represent the zero(s) of the function.