Question

f(x)=(x+3)^2(x-1)^2
Need to find x and y intercept
power function of f
max # turning points
behavior for x intercept 1 and -3

Answer 1

to find x and y intercept, set x=0 and y=0,
When x=0,

y=(0+3)^2(0-1)^2
y=9

when y=0.
x=1

Answer 2

To find power function of f, expand
x^(2)-2x+1

Answer 3

Since its a quadratic, the graph has 1 turning point

Answer 4

So my pwer of f would be 1 right?

Answer 5

power function is 2, because x^(2)-2x+1

Observe the term with the greatest degree.
x^2

Now, you know the power function is f(x) = x^2

Answer 6

How do I fiqure out the behavior of the graph near x-intercept 1 and x-intercept -3?

Answer 7

x-intercept 1 and x-intercept -3 , means the curve touches the x axis 2 times,