Transforming Quadratic Equations

Describe the transformation of y = (x + 7)²

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

Describe the transformation of y = 3(x - 3)² + 3

• Narrow, Right, Up

• Narrow, Left, Down

• Wide, Right, Up

• Wide, Left, Down

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Given the equation: y = -(x - 4)² - 3,

does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

What do we call the highest or lowest point of a quadratic?

• parabola

• vertex

• graph

• point

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Convert the equation from vertex form to standard form.

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30