If the quadratic equation has the form y = ax 2and y = ax 2+ c, then their axis of symmetry must always be?

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  x = 0

Step-by-step explanation:

When there is no linear term in the equation, the axis of symmetry is x=0.

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The values 'a' and 'c' represent a vertical scale factor and a vertical translation, respectively. They do not change the axis of symmetry from that of the parent function, which is x=0.

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step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)