Question

Which line shows the graph of y = 4x - 5 reflected over the y-axis?

Answer 1

Answer:

The line y = -4x - 5 shows the reflection over the y-axis.

From the attached graph, the blue line i.e. y = -4x-5 represents the reflection over the y-axis.

Step-by-step explanation:

When we reflect a line function over the y-axis, all we need is to negate the x-coordinate or value of 'x', while y-coordinate or y-value remains the same.

Given the function

y = 4x-5

replace x with -x

y = 4(-x) - 5

y = -4x - 5

Thus, the line y = -4x - 5 shows the reflection over the y-axis.

From the attached graph, the blue line i.e. y = -4x-5 represents the reflection over the y-axis.

From the graph, it is clear that that that x-coordinate of y = 4x-5 is negated.