Quiz about Algebra 1 STAAR Practice Cat 4

Question 1

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 of x, the horizontal distance in yards of the golf ball from the tee box.

Accepted Answer

$$0\le x\le230$$

Answer

$$6\le y\le36$$

Answer

$$0\le y\le36$$

Answer

$$6\le x\le230$$

Question 2

The graph of quadratic parent function f was transformed to create the graph of $$g\left(x\right)=f\left(x+2\right)-5$$ . Which graph best represents g?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 3

A company collected data for the number of text messages sent and received using a text-messaging application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function.

Which function best models the data?

Accepted Answer

$$n\left(t\right)=0.072t^2-0.15t+2.73$$

Answer

$$n\left(t\right)=-0.002t^2+0.55t+5.02$$

Answer

$$n\left(t\right)=-0.002t^2+5.02$$

Answer

$$n\left(t\right)=0.072t^2+2.73$$

Question 4

Which graph best represents $$y=-x^2+6x-1$$ ?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 5

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

Which function is best represented by this graph?

Accepted Answer

$$h\left(x\right)=x^2-6x$$

Answer

$$h\left(x\right)=x^2-3x-9$$

Answer

$$h\left(x\right)=x^2+3x-9$$

Answer

$$h\left(x\right)=x^2+6x$$

Question 6

The graph of $$f\left(x\right)=x^2$$ was transformed to create the graph of $$g\left(x\right)=f\left(x\right)-9$$ . Which statement aout the graphs is true?

Accepted Answer

The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f/

Answer

The graph of g is a reflection of the graph of f across the x-axis.

Answer

The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

Answer

The graph of g is a reflection of the graph of f across the y-axis.

Question 7

Which value of x is a solution to this equation?

$$5x^2-36x+36=0$$

Accepted Answer

$$x=1.2$$

Answer

$$x=-6$$

Answer

$$x=4$$

Answer

$$x=-1.8$$

Question 8

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

Accepted Answer

$$y=3x^2+12x+19$$

Answer

$$y=3x^2+12x+33$$

Answer

$$y=3x^2+19$$

Answer

$$y=3x^2+33$$

Question 9

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

Which statements are best supported by the graph of k?

I. The x-intercept is located at $$\left(-3,0\right)$$ .

II. The coordinates of the y-intercept are $$\left(0,\ 9\right)$$ .

III. The axis of symmetry is $$x=-3$$ .

Accepted Answer

I, II, and III

Answer

I and II only

Answer

I and III only

Answer

II and III only

Question 10

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

Accepted Answer

Domain: All real numbers

Range: $$g\left(x\right)\le61$$

Answer

Domain: $$x\le17$$

Range: $$g\left(x\right)\le61$$

Answer

Domain: All real numbers

Range: $$x\le17$$

Answer

Domain: $$g\left(x\right)\ge61$$

Range: $$x\le17$$

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