### Home > A2C > Chapter 10 > Lesson 10.2.6 > Problem 10-148

10-148.

Given the function

*h*(*x*) = 2(*x*+ 3)^{2}+ 2: Homework Help ✎What are the intercepts?

What are the domain and range?

To find the *y*-intercept, substitute 0 for *x*.

*h*(0) = −2(9) + 2

To find the *x*-intercept substitute 0 for *h*(*x*).

0 = −2(*x* + 3)^{2} + 2

−2(*x* + 3)^{2} = −2

(*x* + 3)^{2} = 1

*x* + 3 = ± 1

*y*-intercept (0, −16)

*x*-intercept (−4, 0), (−2, 0)

Which variable is being squared?

Domain: all real numbers

Range: y ≤ 2