Vertex Form Of Quadratic Relation Worksheet With Answer Key

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Worksheet: Vertex Form of Quadratic Relation
Short Answer
2
1. Identify what transformation(s) must be applied to the graph of y = x
2
to create a graph of y = 2x
. Then state the image of point (3, 9).
2
2. Identify what transformation(s) must be applied to the graph of y = x
2
to create a graph of y = –3x
. Then state the image of point (2, 4).
2
3. Identify what transformation(s) must be applied to the graph of y = x
2
to create a graph of y = x
. Then state the image of point (4, 16).
2
4. Identify the coordinates of the vertex of the parabola y = –3(x – 4)
+ 2.
2
5. Identify the coordinates of the vertex of the parabola y = 2(x + 1)
– 6.
2
6. Identify the equation of the axis of symmetry of the parabola y = –4(x + 3)
+ 1.
2
7. Identify the equation of the axis of symmetry of the parabola y = 5(x – 1)
– 3.
2
8. What transformations would you apply to the graph of y = x
to create the graph of
2
y = 3(x + 6)
– 2? List the transformations in the correct order.
2
9. What transformations would you apply to the graph of y = x
to create the graph of
2
y = –2(x – 1)
+ 4? List the transformations in the correct order.
2
10. What transformations would you apply to the graph of y = x
to create the graph of
? List the
transformations in the correct order.
2
11. What transformations would you apply to the graph of y = x
to create the graph of
2
y = 4(x – 1)
– 3? List the transformations in the correct order.
2
12. Sketch the graph of the quadratic relation y = –2(x + 3)
.
2
Start with a sketch of y = x
, and then apply the appropriate
transformations in the correct order.
13. Sketch the graph of the quadratic relation y =
.
2
Start with a sketch of y = x
, and then apply the appropriate
transformations in the correct order.
2
14. Sketch the graph of the quadratic relation y = –3(x + 2)
+ 2.
2
Start with a sketch of y = x
, and then apply the appropriate
transformations in the correct order.

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