Transformations to Quadratic Functions

 Write the equation of the function whose graph has been translated to the right 4 units and vertically stretched by a factor of 5 from the graph of the quadratic parent function.

Mathematical Equivalence

ON

Use transformations of the quadratic parent function, f(x) = x^2, to help you draw an accurate graph of the equation f(x) = 2x^2 - 3

The axis of symmetry of this graph is ______

Tags

CCSS.HSF-IF.C.7A

The range of this function is ______

Tags

CCSS.HSF-IF.C.7A

Which of the following quadratic functions has the widest graph (greatest vertical compression)?

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The vertex of this graph is ______

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Which function has a translation of 2 units right and narrower by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units