MATHEMATICS COLLEGE

Describe the transformation of the parent function f(x) = x^2 a. g(x) = -(x + 5)^2 + 2 b. h(x) = (x + 2)^2 - 7

Answers

Answer 1

Answer:

Answer:

g(x) is shifted left 5 units, shifted 2 units up, & reflected over the x-axis.

h(x) is shifted left 2 units and shifted 7 units down.

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k where

a is the vertical stretch
-a is a reflection over the x-axis
(h, k) is the vertex
--> h is the horizontal shift (positive is RIGHT, negative is LEFT)
--> k is the vertical shift (positive is UP, negative is DOWN)

f(x) = x²

g(x) = -(x + 5)² + 2

a = -1 reflected over the x-axis

h = -5 shifted left 5 units

k = +2 shifted 2 units up

h(x) = (x + 2)² - 7

a = 1 no change from f(x)

h = -2 shifted left 2 units

k = -7 shifted 7 units down

Related Questions

How long will it take for a sum of $800 attracting simple interest to become $830 if the rate is 9%? Compute the return on this investment.
Connor works in a department store selling clothing. He makes a guaranteed salary of $300 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would Connor make in a week in which he made $2175 in sales? How much would Connor make in a week if he made xx dollars in sales?
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 36843684 grams and a standard deviation of 448448 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 43564356 grams. Round your answer to four decimal places.
What is the area in square units of the figure shown below??help asap!don't share links or anything pleasee
Use the steps to determine the exact value of sin(−135)°.Identify the reference angle, θ.θ = °

I need help with # 8 & # 10 please

Answers

Answer:

8) -0.05 lb/day . . . . or . . . . -1.5 lb/month

10) 43.6%

Step-by-step explanation:

8) Using the given units, the "unit rate" is the rate expressed with a denominator of 1. For rates involving time, usually the time period is in the denominator. That is, we're interested in what happens in a unit of time.

... (change in pressure)/(change in time) = (-1.5 lb)/(30 day) = -0.05 lb/day

You can recognize that 30 days is a month, so we could just change the 30 day period to 1 month. Then the denominator will be 1 unit as desired.

... (change in pressure)/(change in time) = (-1.5 lb)/(1 month) = -1.5 lb/month

(My guess is that this latter solution may not fly.)

___

10) 34/78 × 100% = 43.589743_589743% . . . . a repeating decimal with a 6-digit repeat

... ≈ 43.6%

_____

Comment on unit rates involving time

Sometimes, we're interested in the amount of time to do a task. Then the unit rate is expressed as "time per task", rather than "tasks per time".

In the above problem, we might be interested in the amount of time it takes to lose 1 lb of air pressure. Then the unit rate would be 20 days/lb.

Other kinds of unit rates can be inverted similarly, often for similar reasons.

A cylinder is 5 centimeters tall and has a radius of 2.1 centimeters. Find the volume to the nearest tenth. Use 3.14 for .61.2 cm
33.0 cm
65.9 cm
69.2 cm

Answers

Answer:

Option D

Step-by-step explanation:

Volume of a cylinder is $V=\pi r^2h$

h - height

r - radius

We are given the radius of 2.1 centimeters and the height of 5 centimeters.

Using 3.14 for pi:

$V=3.14*2.1^2*5\n\nV =69.237$

69.237 ≈ 69.2

Option D should be the correct answer.

A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but you have to leave at 11:30 to help out a friend. If the repair person is equally likely to be at your apartment any time during the appointment time, what is the probability that you will be there?

Answers

Answer:

5/6

Explanation:

There are 6 half-hours between 9 and 12. You will be there for 5 of them. The probability you will be there is 5/6.

83.3%

_______________________________________________

*100% CORRECT ANSWERS

Question 1

What is the approximate Probability of drawing a RED FACE card from a standard deck of shuffled cards.

11.5%

Question 2

An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If a marble is drawn at random what are the ODDS of drawing a red marble?

1:4

Question 3

What is the probability of flipping a penny and a nickel and having them both land on heads?

25%

Question 4

A solider is parachute training. He jumps out of a plane high enough that the pilot determines the solider will land somewhere in an 240 foot radius land zone. The pilow forgot to mention to the solider that the parachute has very little maneuverablity (no steering). and there are 30 trees in the landing zone. Each tree from the air practically outlines a circle with a radius of 8 feet. What is the geometric probability that the solider will land in a tree?

0.03333

Question 5

83.3%

Erik often runs his laptop computer on battery power. He knows that thelonger he runs on battery power, the less power the battery will have.
A. The number of hours the battery will run is a function of the
number of computers Erik has.
B. Erik's choice of a laptop computer is a function of the amount of
power the battery will hold.
C. The amount of power in the battery is a function of the time Erik
runs the computer on the battery.