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Algebra 1

7.17.5 Equations of Graph Translations

Algebra 17.17.5 Equations of Graph Translations
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1.

Here is a graph that represents y = x 2 y = x 2 .

A graph of the parent quadratic function is given in blue on the coordinate plane. The x-axis extends from negative 6 to 6 with a scale of 2. The y-axis extends from negative 30 to 30 with a scale of 10.

Use the graphing tool or technology outside the course. On the same coordinate plane, sketch a graph that represents y = ( x − 6 ) 2 + 10 y = ( x − 6 ) 2 + 10 .

2.

The graph representing y = x 2 y = x 2 is shifted 2 units to the left, 10 units down, and flipped so that it opens downward, as shown.

Which equation defines this curve?

Multiple Choice:

a. y = − ( x + 2 ) 2 − 10 y = − ( x + 2 ) 2 − 10

b. y = ( x + 2 ) 2 − 10 y = ( x + 2 ) 2 − 10

c. y = − ( x + 2 ) 2 + 10 y = − ( x + 2 ) 2 + 10

d. y = ( x + 2 ) 2 + 10 y = ( x + 2 ) 2 + 10

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