Question

Which function has an axis of symmetry of x = −2?​

Answer 1

Answer:

$y=(x+2)^2$

Step-by-step explanation:

Since the axis of symmetry is x=-2, we know that it is vertical. A standard parabola has the equation of $y=x^2$, which when graphed has an axis of symmetry at x=0. In order to find a function with an axis of symmetry at x=-2, the graph must be shifted to the left by 2 units. In case you don't remember how to transform graphs left or right, here it is: To shift a graph to the right (positive direction) you must subtract the number of units you want to shift the graph by from the x variable (since right-left transformations are in the horizontal x-direction) and you must add the number of units you want to shift the graph by from the x variable in order to transform the graph to the left (negative) direction.