How many times does the graph of 4x = 32 - x2 cross the x-axis?
0
1
2
what are the solutions to the equation?

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form

Where a, b, c are constants

Now, let's arrange this equation in this form:

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

If

Let's find value of Discriminant:

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4