Graph Factored Quadratics

Which quadratic equation models the parabola shown below?

• y = 0.25(x-2)(x+2)

• y = -0.25(x-2)(x+2)

• y = 4(x-2)(x+2)

Tags

CCSS.HSF-IF.C.7A

Which quadratic equation models the parabola shown?

• y = 2x(x-3)

• y = 2x(x+3)

• y = (x+1)(x+3)

• y = (x-1)(x+3)

Tags

CCSS.HSF-IF.C.7A

Which quadratic equation models the parabola shown?

• y = (x-2)(x-5)

• y = (x+2)(x+5)

• y = -(x+2)(x+5)

• y = -(x-2)(x-5)

Tags

CCSS.HSF-IF.C.7A

What are the x-intercepts of the quadratic?

• (2, 0) and (4, 0)

• (-2, 0) and (-5, 0)

• (2, 0) and (5, 0)

• (-2, 0) and (-4, 0)

Tags

CCSS.HSF-IF.C.7A

If we have the equation here, can we graph and match?

(a)  

• F

• G

• H

• J

Tags

CCSS.HSF-IF.C.7A

What is a quadratic function in factored/intercept form with x-intercepts of (5,0) and (-2,0) that is normal size and opens up? f(x) = ________________

Mathematical Equivalence

ON

Looking at the graph,

The vertex is at Point ​ (a)  

The Positive Zero is at Point ​ (b)  

The y-intercept is at Point ​ (c)  

The Negative Zero is a Point ​ (d)  

• 3

• 4

• 2

• 1

• Not Shown

Tags

CCSS.HSF-IF.C.7A

What is a quadratic function in factored/intercept form with x-intercepts of (5,0) and (-2,0) that is normal size and opens up? f(x) = ________________

Mathematical Equivalence

ON

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Range : (d)  

• (-3, -5)

• (0, 4)

• x = -3

• x ≥ -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• x ≥ 3

• x = -5

• -4

What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2

• f(x) = x² + 3x -10

• f(x) = (x + 5)(x - 2)

• f(x) = (x - 5)(x + 2)

• f(x) = (x + 1.5)² - 12.25