What is the equation for the graph shown below? A. x^2 – 3x – 25
B. x^2 – 7x – 25
C. x^2 + 7x – 21
D. x^2 + 2x - 25

9514 1404 393

  D.  x^2 + 2x - 25

Step-by-step explanation:

The y-intercept is -25, eliminating choice C. The axis of symmetry is negative, eliminating choices A and B. (The axis of symmetry is x = -b/(2a), so the coefficient of x must be positive for a negative axis of symmetry.)

The only viable choice is D:

  x^2 + 2x - 25

_____

Additional comment

Though the y-intercept is in the right place, it seems to me the vertex and x-intercepts are slightly too far left for the given equation. That is why I chose to eliminate non-viable answers, rather than try to determine the equation directly. That is also why I elected to show a better graph of equation D.

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.