Algebra EOC Test Questions for Transformations

The graph of f(x)= x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes the transformation?

• A horizontal shift to the right 7.5 units

• A horizontal shift to the left 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units

Which option describes the transformations on the given function from its parent function y=x^2?

• reflecting over the x-axis, vertically stretched by a factor of 3 translated 1 unit to right

• reflecting over the x-axis, vertically stretched by a factor of 3 translated 1 unit to left

• reflecting over the x-axis, vertically compressed by a factor of 3 translated 1 unit to left

• reflecting over the x-axis, vertically compressed by a factor of 3 translated 1 unit to right

Match the following with its transformation

• Down 3

• y = x² + 3

• Steepen

• y = 2x²

• Left 2

• y = (x — 2)²

• Right 2

• y = x² — 3

• Up 3

• y = (x + 2)²

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q. Which function best represents the graph of q?

• 3

• -9

• -3

• 9

• 0

The graph of quadratic function p is shown on the grid.

If k(x) = x² and p(x) = k(x) + n, what is the value of n?

• 6

• -6

• 3

• -3

• -2

• -7

• 2

• 7

• 0

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

Tags

CCSS.Math.Content.7.EE.A.2