Question

Let f(x) = 34x² - 1. The function g(x) is a vertical stretch of f(x) by a factor of 8. What is the equation of g(x)?

Answer 1

The function g(x), a vertical stretch of f(x) = 34x² - 1 by a factor of 8, is represented by the equation g(x) = 272x² - 8.

Step-by-step explanation:

To find the equation of the function g(x) that represents a vertical stretch of f(x) = 34x² - 1 by a factor of 8, you multiply the f(x) function by 8.

Since f(x) involves the expression 34x² - 1, after stretching it vertically, the new equation becomes g(x) = 8(34x² - 1).

Now, multiplying the inside of the parentheses by 8 gives us:

g(x) = 8 × 34x² - 8 × 1

g(x) = 272x² - 8

This is the equation of g(x), which is a vertically stretched version of f(x) by a factor of 8.