Quadratic Transformation and Attributes

If the blue is f(x)=x^2, the red must be

• g(x)=(x + 3)²

• g(x)=(x - 3)²

• g(x)=x² + 3

• g(x)=x² - 2

Find the Vertex:
y = x² + 6x + 2

• (-3,-7)

• (1,6)

• (6,2)

• No Real Solution

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

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

• Reflection over x-axis

• None of these

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation ​ (a)   and description ​ (b)  

• neither even nor odd function

• even function

• odd function

• vertical shift up

• horizontal shift right

• vertical

  compression

• reflected across x-axis

• vertical stretch

Transform the quadratic parent function to show that there is a vertical translation up 4 units, a horizontal translation left 2 units, and vertical reflection.

(Make sure one of the points is on the vertex, and the other a zero.)