Question #5d6a0

1 Answer
Oct 27, 2017

x = 4,6

Explanation:

The y-intercept (0, y) is when x=0. The x-intercept (x,0) is when y=0. So to find the x-intercept we will set y = f(x) to 0 and solve for x.
f(x)=-3(x-5)^2+3
0=-3(x-5)^2+3
0=-3(x^2-10x+25)+3
0=-3x^2+30x-75+3
0=-3x^2+30x-72
0=-3(x^2-10x+24)
0=-3(x-6)(x-4)

x-6=0
x=6

x-4=0
x=4

so x = 4,6
You should also double-check your answers by plugging the values back into the original question. Sometimes the answers you get can be erroneous.