Unit 3.7a HW: Converting between Forms of a Quadratic

What key concept should you use when converting from STANDARD TO VERTEX form?

• FOIL

• Completing the square

• Don't Pick Me!

• Factoring

Find the x-intercepts of

 $y\ =\ \frac{1}{2}\left(x-5\right)^2-2$  

Please select 2 answers.

• (7, 0)

• (-7,0)

• (3,0)

• (0,7)

• (0,-3)

Tags

CCSS.HSF-IF.C.7D

Convert from VERTEX TO STANDARD form:

 $y\ =\ -3\left(x-1\right)^2-9$  

•  $-3x^2+2x-6$  

•  $3x^2-2x+12$  

•  $-3x^2+6x-12$  

•  $x^2-3x+12$  

What is the y intercept of

 $y\ =\ -\left(x-3\right)^2+2$  

• (-11, 0)

• (0, -7)

• (0, -9)

• (-7, 0)

Tags

CCSS.HSF-IF.C.7A

Convert from STANDARD TO VERTEX form:

 $y\ =\ 2x^2-24x+63$  

•  $y\ =\ \left(x-12\right)^2+63$  

•  $y\ =\ 2\left(x-6\right)^2+9$  

•  $y\ =\ 2\left(x+4\right)^2-18$  

•  $y\ =\ 2\left(x-6\right)^2-9$  

 $y=3x^2+6x-5$  

Convert to vertex form.

•  $y=3(x+1)^2-8$  
  

•  $y=3(x-1)^2-8$  
  

•  $y=3(x+2)^2-8$  
  

•  $y=3(x-2)^2-8$  
  

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15
• f(x) = (x - 4)² + 17
• f(x) = (x - 4)² - 17
• f(x) = (x - 4)² + 65

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Convert to Intercept Form.   $y=x^2+14x+48$  

• y = (x+8)(x+6)

• y = (x+8)(x-6)

• y = (x-6)(x-8)

• y = (x-8)(x+6)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

 $y=2\left(x+3\right)^2+5$  

Convert to Standard Form.

•  $y=2x^2+12x+23$  

•  $y=2x^2+6x+23$  

•  $y=2x^2+12x+18$  

•  $y=x^2+6x+13$  

Which of the following is Standard Form?

• $y=ax^2+bx+c$

• $y=a\left(x-p\right)\left(x-q\right)$

• $y=a\left(x-h\right)^2+k$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3