STAAR Quadratic Functions 2021

A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function x, the horizontal distance in yards of the golf ball from the tee box.

What is the domain of the function for this situation?

• $0\le x\le230$

• $6\le y\le36$

• $0\le y\le36$

• $6\le x\le230$

What are the domain and range of  $g\left(x\right)=-\frac{1}{4}\left(x-17\right)^2+61$ ? 

•  $Domain:\ All\ real\ numbers$   $Range:\ g\left(x\right)\le61$  

•  $Domain:\ x\le17$   $Range:\ g\left(x\right)\le61$  

•  $Domain:\ All\ real\ numbers$   $Range:\ x\le17$  

•  $Domain:\ g\left(x\right)\ge61$   $Range:\ x\le17$  

The graph of quadratic function f is shown on the grid.

Which of these best represents the domain of f?

• $-3\le x\le2$

• All real numbers

• $y\ge5.5$

• All real numbers less than -3 or greater than 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

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Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The table shows some ordered pairs that belong to quadratic function h.

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

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

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Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which function is equivalent to $y=3\left(x+2\right)^2+7$  ?

•  $y=3x^2+12x+33$  

•  $y=3x^2+12x+19$  

•  $y=3x^2+19$  

•  $y=3x^2+33$  

Which function is equivalent to $f\left(x\right)=-4\left(x+7\right)^2-6$  ?

•  $f\left(x\right)=-4x^2-56x-202$  

•  $f\left(x\right)=-4x^2+14x+43$  

•  $f\left(x\right)=-4x^2-56x-172$  

•  $f\left(x\right)=-4x^2+190$  

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?

• $y=\frac{3}{4}\left(x+3\right)^2+7$

• $y=-\frac{3}{4}\left(x+3\right)^2-7$

• $y=\frac{3}{4}\left(x-3\right)^2+7$

• $y=-\frac{3}{4}\left(x-3\right)^2-7$

The graph of a quadratic function is shown on the grid.

Which function is best represented by this graph?

• $h\left(x\right)=x^2-3x-9$

• $h\left(x\right)=x^2+3x-9$

• $h\left(x\right)=x^2-6x$

• $h\left(x\right)=x^2+6x$

Tags

CCSS.HSF-IF.C.7A