Question

Which graph represents the equation below

Answer 1

graph C

Explanation:

so the equation given is
`f(x)=-(x+1)(x-3)`

the negative in front of the (x+1)(x-3) indicates that the parabola will reflect over the x-axis and will open downward. This eliminates graphs A and B

the (x+1)(x-3) part tells you the zeros of thr function(x-intercepts)

All you have to do is set (x+1) equal to zero and (x-3) equal to zero as shown:

x+1=0 -- subtract 1 from both sides to get -- x=-1

x-3=0 -- add 3 to both sides to get -- x=3

Therefore, -1 and 3 are your zeros or x-intercepts for the function.

Now, look at graphs C and D to see which of the two graphs passes through (-1,0) and (3,0), of course at the x-axis

The only graph that works is graph C so graph C is your answer

Answer 2

c.

Explanation:

c is the correct answer 1,4