Which graph represents the equation below

graph C

Step-by-step explanation:

so the equation given is

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

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

x=half

step-by-step explanation: