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

10-148.
  1. Given the function h(x) = 2(x + 3)2 + 2: Homework Help ✎

    1. What are the intercepts?

    2. 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