Transforming Parabolas

What is the vertex of this quadratic equation?

y = 2(x + 2)² + 5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

Which function below matches the graph above?

Tags

CCSS.HSF-IF.C.7A

Given: y = (x - 5)² + 6, the vertex is

• (2,-5)

• (-5,6)

• (2,6)

• (5,6)

Which function below matches the graph above?

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

The equation of red graph is y = x². The equation of the blue graph is...

• y = -(x + 4)² + 2

• y = (x + 4)² - 2

• y = (x - 4)² - 2

• y = (x + 4)² + 2

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

Tags

CCSS.HSF.BF.B.3

If the directrix is above the vertex the parabola opens ​ (a)   and if the directrix is below the vertex the parabola opens ​ (b)  

• down

• up

• left

• right

The equation of red graph is y = x². What is the equation of the blue graph?

• y = (x + 5)²

• y = (x - 5)²

• y = x² - 5

• y = x² + 5

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

Tags

CCSS.HSF.BF.B.3