Key Characteristics of Quadratic Equation

How does the coefficient '4' affect the width of the parabola in the equation y = 4(x+1)^2 - 2?

• The coefficient '4' makes the parabola narrower.

• The coefficient '4' makes the parabola a straight line.

• The coefficient '4' makes the parabola wider.

• The coefficient '4' has no effect on the width of the parabola.

In the function y = -4(x + 3)^2 + 5, what are the coordinates of the maximum point?

• (-3, 5)

• (3, -5)

• (5, -3)

• (-5, 3)

Tags

CCSS.HSF-IF.C.7A

Write a quadratic equation that opens up, has a vertex of (1, -3)and passes through (-4, 6)

• y = 2(x - 1)² - 3

• y=3(x+1)² + 3

• y = 9/25(x - 1)² - 3

• x = 9/25(y + 3)² - 1

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Max or Min value:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max

• y = 4

• 4,3

• (4,3)

• (-5,0)

• y = 3

• Min

Tags

CCSS.HSF-IF.C.7A

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)

Tags

CCSS.HSF-IF.C.7A

Label the graph. Match the zero smaller and larger values by placing the box on the graph next to what it represents.

g

f

b

e

a

x=-4

Vertex (-4, 2)

Axis of Symmetry: x = -2

Maximum

x=0

Minimum

Vertex (-2, 4)

Axis of Symmetry: x = 0

Axis of Symmetry: x = -4

Tags

CCSS.HSF-IF.C.7A

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)

Tags

CCSS.HSF-IF.C.7A

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

What are the vertex and axis of symmetry of the parabola f(x) = -x² - 4x + 12?

• Vertex: (-2, 16); Axis of Symmetry: x = -2

• Vertex: (2, 0); Axis of Symmetry: x = 2

• Vertex: (2, 4); Axis of Symmetry: x = 2

• Vertex: (-2, 4); Axis of Symmetry: z = --2