Graphing/Vertex Form of a Parabola

Identify a, h, and k in the following equation. Write your answer as a,h,k (for example: 3,4,5)

 $y=-3\left(x-2\right)^2-7$  

(a)  

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of the parabola: y=2(x-3)²+4

Write answer in (x, y) form

(a)  

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

Tags

CCSS.HSF-IF.C.7A

Which of the following is the correct equation for the given graph?

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

Tags

CCSS.HSF-IF.C.7A

Rewrite y = x²+ 16x + 71 in graphing form by completing the square

• y = (x+8)²+ 7

• y = (x+8)²+135

• y = (x+16)²-185

• y = (x+16)²+ 327

Which is the vertex of y = x²+ 16x + 71 ?

(Hint: Use complete the square)

• V(-8, 7)

• V(-8, 3)

• V(8, 10)

• V(16, -2)

What is the vertex for the equation  $y=-3\left(x-2\right)^2-7$  

Write your answer in (x, y) form.  For example: (4, 5)

(a)  

 Rewrite the equation in graphing form by using complete the square.  $y\ =x^2-10x+15$ . 

•  $y=\left(x-5\right)^2-10$  

•  $y=\left(x+5\right)^2-10$  

•  $y=\left(x-5\right)^2+40$  

•  $y=\left(x-10\right)^2-85$