Show:
Verbal Transformations
Describing Transformed Equations
Key Features of Quadratic Functions
Maximum or Minimum
Vertex Form/Standard Form
100

Dylan sketches a parabola with a vertex at the origin that opens downward. What is the equation of Dylan's function?

y = -x^2

100

Describe the transformation. 

y = (x+1)2 - 5

Translated 1 unit left and 5 units down.

100

A parabola has a vertex of (2,-11). What is the equation of the axis of symmetry?

x = 2

100

Determine whether this function has a maximum or minimum value, and find that value: 

f(x) = -2(x-1)2+3

max = 3

100

Given the vertex of (-2, 5) and a point (0, 1), what is the quadratic equation in vertex form?

y = -( x +2 )2 + 5

200

Marneli translates the quadratic parent function 10 units to the right and 4 units down. What is the equation of Marneli's function?

y = (x-10)^2 - 4

200

Describe the transformation.

y = 1/6(x-3)2 + 1

Vertically compressed, and translated 3 units to the right and 1 unit down.

200

A quadratic equation of y= -8x2 -32x+9. What is the equation of the axis of symmetry?

x = -1

200

Determine whether this function has a maximum or minimum value, and find that value: 

f(x) =3(x+2)2-7

min = -7
200

Given the vertex of (-3, -4) and a point (1, -6), what is the quadratic equation in vertex form?

y = -1/8(x + 3)2 - 4

300

Brianna transforms the quadratic parent function by vertically stretching the parabola by a factor of 2. Then, she translates the parabola 8 units up and 6 units right. What is the equation of Brianna's parabola?

y = 2(x-6)^2 + 8

300

Describe the transformation.

y = -4(x+2)2 + 4

Reflected across the x-axis, vertically stretched, and translated 2 units to the left and 4 units up.

300

What can you say about the graph of the parabola when a<0 and when a>0?

When a<0 , it opens downward.

When a>0, it opens upward.

300

Determine whether this function has a maximum or minimum value, and find that value: 

f(x) = -4(x+3)2 +6

max = 6

300

Given the vertex of (6, -16) and a point (3, 2), what is the quadratic equation in vertex form?

y = 2(x - 6)2 - 16

400

Nyomi begins with the quadratic parent function. She reflects the parabola over the x-axis and translates the function 3 units to the left and 5 units down. What is Nyomi's equation?

y = -(x+3)^2 - 5

400

Describe the transformation.

y = -1/3(x)2

Vertically compressed and reflected across the x-axis.

400

What is the y-intercept of y=-2(x+3)2 +14

(0, -4)

400

Determine whether this function has a maximum or minimum value, and find that value: f(x) = x2 + 12x + 27

min = -9

400

Change y = (x - 7)2 - 25 to standard form.

y = x2 - 14x + 24

500

Stacey transforms a quadratic function by stretching it vertically by a factor of 4 and translating the parabola 22 units down and 1 unit to the left. What is the equation of Stacey's transformed function?

y = 4(x+1)^2 - 22

500

Describe the transformation.

y = (2x)2 + 15

Vertical stretch by a factor of 2 and translated 15 units up.

500

What is the y-intercept of y =1/3( x-9)2 - 7?

(0, 20)

500

Determine whether this function has a maximum or minimum value, and find that value:

 f(x) = -2x2 - 8x +5

max = 13

500

Change y = -4(x + 5)2 + 61 to standard form.

y = x2 - 40x - 39