Question

How many real solutions does the graph of \displaystyle y=-2x^2+8x-8y=−2x 2 +8x−8have?

Answer 1

we have

y=-2x^2+8x-8

Looking at the graph

the number of real solutions in a quadratic equation is equal to the number of x-intercept

In this problem

the graph has only one x-intercept (2,0)

therefore

has only one real solution