Graphing Quadratics Transformation

What is the RANGE?

• {-3, 3]

• all real numbers

• [-4, 5]

• [-4, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Define Y-intercept

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The lowest y-value on the graph

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

Tags

CCSS.HSF-IF.C.7A

What is the Axis of Symmetry of the function?

Tags

CCSS.HSF-IF.C.7A

What is the range of the function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the decreasing interval on the function shown?

Determine the equation given the graph (HINT: Use the vertex and a test point to find the a-value)

Mathematical Equivalence

ON

Convert to vertex form.

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21

What piece of information does h identify in the following equation?
y=a(x-h)²+k

• y value of the vertex

• Axis of Symmetry and the x coordinate of the vertex

• Direction (facing up or down)

• x-intercept

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

• Not enough information

Tags

CCSS.HSF-IF.C.7A