MATHEMATICS MIDDLE SCHOOL

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6? left 1 unit, up 5 units right 1 unit, up 5 units left 2 units, up 2 units right 2 units, up 2 units

Answers

Answer 1

Answer:

Answer:

Shift left by 1 unit
Shift up by 5 units

Step-by-step explanation:

In order to answer this question first we have to convert g(x) into vertex form.

$g(x)=x^(2)+2x+6\ng(x)=x^(2)+2(x)(1)+(1)^(2)+5\ng(x)=(x+1)^(2)+5$

Now from this form we can visualize the transformations made to f(x) to get the graph of g(x).

Addition of 2 in x means that graph of f(x) = x2 is shifted 1 unit to left to get (x + 1)² .

Addition of 5 in the function value indicates that the graph is shifted 5 units up.

So the changes which have been made to f(x) in order to get g(x) are:

Shift left by 1 unit
Shift up by 5 units

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A coyote weighs 11.3 pounds.convert the coyote's weight to ounces

Answers

The coyote's weight is 180.8 ounces

Further explanation

The coyote's weighs 11.3, convert this to ounces

We know that:

$\boxed {1 pounds = 16 ounces\ }$

x= coyote's weight in ounces

$\boxed {(16 ounces)/( 1 pound)= (x)/(11.3 pounds)\ }\n \boxed {x = 11.3 pounds *\ 16 ounces\ }\n \boxed {x= 180.8 ounces\ }$

In converting unit of measurement, we can use this three step:

write the conversion in fraction
multiply
cancel any unit that are both top and bottom

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Keywords: conversion, converting pounds to ounces, fraction, decimal numbers multiplication, multiplication

There are 16 ounces in a pound, so just multiply 11.3 times 16. That will get you 180.8 ounces.

Can someone please help me, so confused?

Answers

Answer:

answer is b

Step-by-step explanation:

w=450

w=300+9n

450-300=150

9n=150

n=162/3

How many tall cups of coffee will it take to equal the number of ounces in one venti

Answers

sence venti in latin is 20. 20 ounces or 2.5 cups

Angel bought 8 oranges and 11 apples for a total of $15.22. He knows that each orange costs $0.50 and reasoned that each apple must cost a little more than $1.00. Is the answer reasonable why or why not?

Answers

find cost of apples
total=oranges+apples
total-oranges=apples

0.5=1/2
cost of oranges=8 times 0.5=8 times 1/2=4

total=15.22
oranges=4
15.22-4=apples
11.22=11 apples
we can see that if the apples were 1 dollar each then the cost woud be $11, but is is more, so it is a little more than $1 each

correct, because of math

he is correct
.50x8=4 15.22-4=11.22 11.22/11=1.02

is this correct?: data can be arranged in visual displays called _graphs_ to make identifying trends easier. (or would it be bar graphs..?

Answers

This is correct. Data visualisation is done through the creation of graphs, which are simply visual representations of data that show relationships between variables. Bar graphs are a particular type of graph. Others include scatter graphs, line graphs and pie charts.

What is 72% as a fraction and decimal

Answers

72% as a decimal is 0.72.
72% as a fraction is 72/100 = 18/25

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