Quadratics: Solve by Factoring & Discriminant (w/ review)

What is the discriminant for the following quadratic equation? 

 $3x^2+7=-4x$  

(a)  

Tags

CCSS.HSA-REI.B.4B

What is the discriminant for the following quadratic equation?

 $2x^2=4x-2$  

(a)  

Tags

CCSS.HSA-REI.B.4B

Based on the graph of function f, where f(x) = 0, which is true of the discriminant for that equation?

• The discriminant is positive

• The discriminant is negative

• The discriminant is zero

• Not enough information has been provided

What is the number and type of solutions expected for the following quadratic equation?

 $3x^2-2x=-4$  

• 2 Real Solutions

• 1 Real Solution

• 2 Non-Real Solutions

• 1 Non-Real Solution

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is the number and type of solutions expected for the following quadratic equation?

 $x^2+2=5x+1$  

• 2 Real Solutions

• 1 Real Solution

• 2 Non-Real Solutions

• 1 Non-Real Solution

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve the following quadratic equation by factoring. Show your work.

 $x^2-3x-4=0$  

•  $\left\{-4,2\right\}$  

•  $\left\{7,-3\right\}$  

•  $\left\{4,-1\right\}$  

•  $\left\{-6,\ 7\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation by factoring. Show your work.

 $4x^2+32x=-48$  

•  $\left\{5,-5\right\}$  
  

•  $\left\{-8,5\right\}$  
  

•  $\left\{-8\right\}$  
  

•  $\left\{-6,-2\right\}$  
  

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation by factoring. Show your work.

 $2a^2=-7a+4$ 

•  $\left\{\frac{1}{2},-4\right\}$  
  

•  $\left\{-\frac{7}{3},0\right\}$  
  

•  $\left\{\frac{2}{5},\ 4\right\}$  
  

•  $\left\{-\frac{1}{2},8\right\}$  
  

Tags

CCSS.HSA-REI.B.4B

Which of the following describes the transformations of f(x) from it's parent function?

 $f\left(x\right)=2\left(x-3\right)^2$  

• Stretch of 2; Down 3

• Compressed by 2; Left 3

• Stretch of 2; Right 3

• Compressed by 2; Up 3

• Stretch of 2; Left 3

On which interval is the following function only decreasing?

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

•  $x<5$  

•  $x>5$  

•  $x<2$  

•  $x>2$  

• All Real Numbers