Mathematics

Philip Harrell

11 January, 09:06

Instructions: Select the correct answer from each drop-down menu.

Graph the function y = f (x) = x2.

If the graph of the given function were shifted six units to the left, the new graph would represent the function,

A.) y=f (x+6) = (x+6) ^2

B.) y=f (x-6) = (x-6) ^2

C.) y=f (x) + 6=x^2+6

D.) y=f (x) - 6=x^2-6

If the graph of the given function were shifted upward by six units, the new graph would represent the function,

A.) y=f (x+6) = (x+6) ^2

B.) y=f (x-6) = (x-6) ^2

C.) y=f (x) + 6=x^2+6

D.) y=f (x) - 6=x^2-6

For the same y-values, the corresponding x-values of the function,

A.) y=f (3x/2) = (3x/2) ^2

B.) y=f (2x/3) = (2x/3) ^2

C.) y=f (x+1.5) = (x+1.5) ^2

D.) y=f (x) + 1.5=x^2+1.5

are 1.5 times of the x-values of the function y = f (x) = x2.