
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