Alg 1. Quadratic Graphs Anatomy (intercepts, zeros, symmetry etc

Graph

y=(x - 3)² - 4

and RECORD x-intercepts, y intercepts and axis of symmetry, etc.

Tags

CCSS.HSF-IF.C.7A

From the graph of

y= (x - 3)² - 4 list the following:

x-intercepts: ​ (a)  

y intercepts: ​ (b)  

and axis of symmetry: ​ (c)  

• x=1 or 5
• y=5
• x=3 or -4
• y=1 or 5
• x=3
• x=-4

For the given graph with the equation y=(x+3)²-1

Vertex = ​ (a)  

Axis of symmetry ​ (b)  

• x=-4
• (-3,-1)
• (3, -1)
• x=-3
• x=3
• (-4, -2)

For the given graph with the equation y=(x+3)²-1

Factored form = ​ ​ (a)  

Zeros (roots/ x-intercepts) = ​ (b)  

• x=-4 or 2
• x=-4 or -2
• x=3 or -3
• (x+4)(x+2)
• (x-4)(x-2)
• (x+3)

For the given graph with the equation y=(x-3)²+1

Vertex = ​ (a)  

Axis of symmetry ​ (b)  

• x=-4
• (3,1)
• (3, -1)
• x=-3
• x=3
• (-4, -2)

For the given graph with the equation y=(x-3)²+1

x-intercepts / zeros /roots = ​ ​ (a)  

Factored form: ​ (b)   ​

• (x-2)(x-4)
• x=2 or 4
• x=-4 or -2
• -(x-2)(x-4)
• (x+2)(x+4)
• (x-3)(x+1)

Graph: y = -(x + 2)² + 9

and record the x intercepts, y intercept, axis of symmetry etc for next questions.

Tags

CCSS.HSF-IF.C.7A

For the graph of y= -(x+2)² + 9 attached,

x intercepts: ​ (a)  

y intercept: ​ (b)  

Factored form: ​ (c)  

• x=-5 or x=1
• x=5 or -1
• y= 5
• y=0
• -(x + 5)(x - 1)
• -(x - 5)(x + 1)
• (x + 5)(x - 1)

For the graph of y= -(x+2)² + 9 attached,

Vertex: (a)  

Axis of symmetry ​ (b)   ​

• (-2, 9)
• x=-2
• x=2
• (2, 9)
• y=9
• (2. -9)

Graph the following:

y = 2(x - 5)² - 8

and record the x axes, vertex, axis of symmetry, etc

Tags

CCSS.HSF-IF.C.7A