Given $$f\left(x\right)=\frac{1}{4}x²$$ how did we transform from the parent function?

Vertical compression (wider) and reflection over x-axis

Vertical stretch (narrower) and reflection over x-axis

Which of the following describes the transformation of $$f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$$ from the parent graph $$g\left(x\right)=2^x$$

Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

The most important advantage of experiments over observational studies is that

B)Experiments can usually give better evidence of causation

A) experiments are usually easier to carry out

C) Confounding cannot happen in experiments

D) Observational studies cannot use random samples

Researchers were interested to know whether internal vehicle temperatures vary by outside temperatures. To evaluate this, temperature rise was measured continuously over a 60-minute period in a dark SUV on 16 different clear, sunny days with outside temperatures ranging from 72 o F to 96 o F. The researchers' method of analysis is best described as:

a randomized comparative experiment.

a single-blind randomized comparative experiment.

The transportation department of a large city wants to estimate the proportion of residents who would use a system of aerial gondolas to commute to work. The gondolas would be part of the city’s effort to relieve traffic congestion. The department asked a random sample of residents whether they would use the gondolas. The residents could respond with yes, no, or maybe. Which of the following is the best description of the method for data collection used by the department?

An experiment with a completely randomized design

An experiment with a randomized block design

An experiment with a matched-pairs design

1. Which best describes the shaded part of this normal distribution graph?

All data that is one or more standard deviations above the mean.

All data that is one or higher.

All data that is between 1 and 3.

All data that is above the mean.

Aaliyah wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

thirty randomly selected students at school

thirty students who are often tardy

thirty students who are rarely tardy

Why are random samples important?

If done correctly they are able to represent the whole population

They are less likely to be biased

Algebra 2 Final Exam Review

Authored by Kevin McDonald

Mathematics

CCSS covered

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write in logarithmic form.
2^-4 = ¹/₁₆

log₂(¹/₁₆) = -4

log_-4(¹/₁₆) = 2

log_-4 2 = ¹/₁₆

log₂(-4) = ¹/₁₆

Write in exponential form.
log₂32 = 5

2^-5 = 32

2³² = 5

2⁵ = 32

32⁵ = 2

log₅25 = ?

125

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