Question

Enter the correct answer in the box. the function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. what is the equation of function g? replace the values of h and k in the equation.

Answer 1

The equation of function g(x) is g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively

How to transform the function?

The function is given as:

f(x) = 2x² - 1

When the function is translated 7 units left, the transformation rule is:

(x,y) -> (x + 7, y)

So, we have:

g(x) = 2(x -7)² - 1

A quadratic function is represented as:

g(x) = a(x -h)² + k

By comparison, the values of h and k are 7 and -1, respectively

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