Function  $p$   is in the form  $y=ax^2+c$  . If the values of  $a$   and  $c$   are both less than  $0$  , which graph could represent  $p$  ?

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Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which expression is equivalent to

 $2x^2+7x+4$  ?

•  $\left(2x-1\right)\left(x+4\right)$  

•  $\left(2x+1\right)\left(x-4\right)$  

•  $\left(2x+1\right)\left(x+4\right)$  

• none of these

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the range of  $h$  ?

• All real numbers

• All real numbers greater than or equal to $-7$

• All real numbers greater than or equal to $-8$

• All real numbers greater than or equal to $0$

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What is the domain of  $h$  ?

• All real numbers

• All real numbers greater than or equal to $-7$

• All real numbers greater than or equal to $-8$

• All real numbers greater than or equal to $0$

Tags

CCSS.HSF.IF.B.5

Which statement about  $k\left(x\right)=-x^2-2x+15$  is true?

• The zeros are  $-3$  and  $5$  , because  $k\left(x\right)=-\left(x+3\right)\left(x-5\right)$  

• The zeros are  $-5$  and  $3$  , because  $k\left(x\right)=-\left(x+5\right)\left(x-3\right)$  

• The zeros are  $-5$  and  $-3$  , because  $k\left(x\right)=-\left(x+5\right)\left(x+3\right)$  

• The zeros are  $3$  and  $5$  , because  $k\left(x\right)=-\left(x-3\right)\left(x-5\right)$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

The graph of  $f\left(x\right)=x^2$  is shown on the grid.
Which statement about the relationship between the graph of   $f$  and the graph of  $g\left(x\right)=7x^2$   is true?

• The graph of  $g$   is narrower than the graph of  $f$  .

• The graph of  $g$   is wider than the graph of  $f$  .

• The graph of   $g\$ is 7 units below the graph of  $f$  .

• The graph of  $g$  is 7 units above the graph of  $f$  .

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Which expression is a linear factor of $36x^2-49$  ?

•  $18x-7$  

•  $6x-49$  

•  $18x-49$  

•  $6x-7$  

Tags

CCSS.HSA.APR.B.2

What are the solutions to $2\left(x-7\right)^2=32$  ?

•  $x=7\pm\sqrt{32}$  

•  $x=\pm\sqrt{65}$  

•  $x=3$  and  $x=11$  

•  $x=-1$  and  $x=15$  

Tags

CCSS.HSA-REI.B.4B

The graph of quadratic function  $g$  is shown on the grid. The coordinates of the x-intercepts, the y-intercept, and the vertex are integers.

What is the maximum value of  $g$  ?

Tags

CCSS.HSF-IF.C.7A

Which statement about $f\left(x\right)=2x^2-3x-5$  is true?

• The zeros are  $-\frac{5}{2}$  and  $-1$  , because  $f\left(x\right)=\left(x+1\right)\left(2x+5\right)$  

• The zeros are  $-\frac{5}{2}$  and  $1$  , because  $f\left(x\right)=\left(x-1\right)\left(2x+5\right)$  

• The zeros are  $-1$  and  $\frac{5}{2}$  , because  $f\left(x\right)=\left(x+1\right)\left(2x-5\right)$  

• The zeros are  $1$  and  $\frac{5}{2}$  , because  $f\left(x\right)=\left(x-1\right)\left(2x-5\right)$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A