Algebra I 2nd Semester Final Review

Which graph represents the function $y=-\left(x-1\right)^2+1$  ?

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Bob and Jennifer are graphing equations on a coordinate grid. Bob graphed the equation $y=-x^2-2$  as shown.

If Jennifer graphs  $y=-\left(x+4\right)^2-2$ , where will her graph be in relation to the graph Bob made?

• translation 4 units down

• translation 4 units up

• translation 4 units right

• translation 4 units left

Consider the function  $f\left(x\right)=5x^2-20x-60$  .

Which of the following is the factored form of  $f\left(x\right)$  ?

•  $5\left(x-6\right)\left(x+2\right)$  

•  $5\left(x+6\right)\left(x-2\right)$  

•  $\left(5x-5\right)\left(x+4\right)$  

•  $\left(5x+5\right)\left(x-4\right)$  

 An apple is launched upward at 64 feet per second from an 80 foot tall platform. The equation for this apple's height h at time t seconds after launch is $h=-16t^2+64t+80$ . What is the maximum height of the apple?

• 80

• 90

• 144

• 185

Consider the function $f\left(x\right)=-2x^2-12x-11$ .

Which of the following is the vertex form of  $f\left(x\right)$ ?  

•  $f\left(x\right)=-2\left(x-3\right)^2+7$  

•  $f\left(x\right)=-2\left(x+3\right)^2+7$  

•  $f\left(x\right)=-2\left(x+6\right)^2-5.5$  

•  $f\left(x\right)=-2\left(x-6\right)^2-5.5$  

Given the scatterplot shown, which of the r-values would most likely represent the correct correlation between the two variables?

• r = 1

• r = -1

• r = 0.97

• r = -0.97

Consider the table of values.

Which equation gives the line of best fit for this data?

• $y=3.18x+2.87$

• $y=3.18\ +2.87x$

• $y=-3.18x-2.87$

• $y=3.18x^2+2.87$

Fifty students were surveyed about their favorite sport. The results were organized according to three different options: soccer, track, or tennis. Students were identified as juniors or seniors.

According to the results, what is the conditional relative frequency of being a senior who likes soccer?

• 0.24 / 24%

• 0.12 / 12%

• 0.43 / 43%

• 0.28 / 28%

Solve the following by factoring and using the zero product property.

 $x^2+7x+12=0$  

• x = 4 and x = 3

• x = -4 and x = -3

• x = 6 and x = 2

• x = -6 and x = -2

Consider the sequence below.

{-64, 16, -4, 1, . . .}

Which rule represents the pattern shown in the sequence?

• $a_n=-4\cdot-64^{n-1}$

• $a_n=\left(-\frac{1}{4}\right)\cdot-64^{n-1}$

• $a_n=-64\left(-\frac{1}{4}\right)^{n-1}$

• $a_n=-64\cdot-4^{n-1}$