Question

How many real solutions does the function shown on the graph have?

Answer 1

A real solution is the same as an x intercept. Because there are 2 x intercepts on this graph there are 2 real solutions.

Answer 2

Two real solutions

Explanation:

Given is a graph of a parabola with quadratic equation.

We know that
`y = ax^2+bx+c`

has solution as x intercepts of the graph.

Using the above we find that the given graph has solution at the x intercepts.

X intercepts are 0 and -4

Hence the solutions are two real and they are x=0 and x =-4

Verify:

The graph is the transformation of
`y = x^2` by verical shift of 4 units down and horizontal shift of 2 units left

So equation would be

`y = (x+2)^2-4`

Simplify to get

`y = x^2+4x = x(x+4)`

Hence solutoins are x=0 or x = -4