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Transformations on Quadratic Graphs

Last updated about 7 years ago

7 questions

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Question 1

1.

The h value determines how much the graph shifts up or down

True

False

Question 2

2.

The k value determines how much the graph shifts left to right.

True

False

Question 3

3.

If the a value is negative, the parabola opens downward.

True

False

Question 4

4.

Describe the transformation from the parent function if the new function is

The parabola is reflected over the x-axis, shift 5 units left, and 3 units down.

 The parabola is reflected over the x-axis, shift 5 units left, and 3 units up. 

 The parabola is reflected over the x-axis, shift 5 units right, and 3 units down. 

 The parabola is reflected over the x-axis, shift 5 units right, and 3 units up. 

Question 5

5.

Describe the transformation from the parent function if the new function is

 The parabola is reflected over the x-axis, has a vertical strech of 2, shift 3 units left, and 5 units down. 

The parabola is reflected over the x-axis, has a vertical compressions of 2, shift 3 units left, and 5 units down.  

The parabola is reflected over the x-axis, has a vertical strech of 2, shift 3 units right, and 5 units down.  

The parabola is reflected over the x-axis, has a vertical strech of 2, shift 3 units right, and 5 units up.  

Question 6

6.

Write the equation in vertex form for the graph pictured below. (Hint: Use ^2 for the exponent)

Question 7

7.

Graph the following equation on the coordinate grid below.