Question

How would you graph f(x) = 7x + 5 when you reflect it over y axis and translate it 3 units left

Answer 1

See explanation

Explanation:

Given the function
`f(x)=7x+5`

1. To reflect the graph of the function f(x) over the y-axis, you should change the slope of the line in opposite. The slope of the function f(x) is 7, so the slope of the reflected function will be -7 and the expression of the reflected function will be

`g(x)=-7x+5`

2. To translate the function g(x) 3 units left, add 3 units to x, thus the expression for the function will be

`h(x)=-7(x+3)+5\\ \\h(x)=-7x-21+5\\ \\h(x)=-7x-16`

See attached diagram for details.