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