Quadratic and Absolute Value Transformations

Find the vertex.

• (-3,-4)

• (-2,-4)

• (2,-4)

• (2,4)

• A
• B
• C

Tags

CCSS.HSF-IF.C.7A

What type of function is shown?

• linear

• quadratic

• square root

• absolute value

Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

• y = 2^x

• Reflection over x-axis

• None of these

Which of the following transformations would translate the function f\left(x\right)=x^2 2 units to the right?

• Reflection over the x-axis

• Vertical Shrink by 2

• Vertical Shrink by 0.7

• Vertical Stretch up 2

The graph of a quadratic function f is shown and the vertex is labeled with its coordinates.  If g(x) = f(x - 1) + 2, what is the minimum value of g?

* The minimum value of g is ​ (a)   because the minimum value of f is ​ (b)   and the graph of g is shifted ​ (c)   from the graph of f by ​ ​ (d)   .​

• 6

• 4

• up

• 2

• 1

• 3

• 5

• down

• left

• right

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2) ​ (b)  

3) ​ (c)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

• parent function

• shift up

• shift down

• shift right

• shift left

• reflection across x-axis

• vertical stretch

• vertical compression