TRANSFORMATIONS OF QUADRATIC FUNCTIONS ... TRANSFORMATIONS OF QUADRATIC FUNCTIONS 1. )The quadratic...

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Transcript of TRANSFORMATIONS OF QUADRATIC FUNCTIONS ... TRANSFORMATIONS OF QUADRATIC FUNCTIONS 1. )The quadratic...

TRANSFORMATIONS OF QUADRATIC FUNCTIONS
1. The quadratic parent function () = 2 was transformed to () = 2 − 14. Which of the
following describes this transformation?
A Vertical shift of 14 units up C Vertical shift of 14 units down
B Horizontal shift of 14 units right D Horizontal shift of 14 units left
2. Which of the following functions best represents the transformation below?
A () = ( − 6)2
C () = 2 − 6
B () = ( + 6)2 D () = 2 + 6
3. Which of the following functions best represents the transformation below?
A () = ( − 1)2
C () = 2 + 1
B () = 2 − 1 D () = −2
4. The quadratic parent function () = 2 was transformed to () = −22. Which of the
following describes this transformation?
A Reflection across x-axis and vertical stretch
B Vertical shift of two units down
C Reflection across x-axis and vertical compression
D Reflection across x-axis and vertical shift of two units up
5. The quadratic function is wider and also 10 units above the quadratic function . Which pair of
functions could represent and ?
A () = 2 and () = 22 + 10 C () = 2 and () = 1
2 2 + 10
2 ( + 5)2 D () = 2 and () = 2( + 5)2
6. The quadratic parent function () = 2 was transformed to () = ( + 3). Which of the
following graphs describes this transformation?
A
C
B
D
7. The quadratic function is in the form () = ( + )2 + . If is less than 0, but and are
both greater than 0, which of the graphs below could represent ?
A
C
B
D
TRANSFORMATIONS OF QUADRATIC FUNCTIONS
ANSWER KEY