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kow [346]
3 years ago
17

What value represents the vertical translation from the graph of the parent function f(x) = x2 to the graph of the function

Mathematics
2 answers:
djyliett [7]3 years ago
8 0

Answer:

Shifted 3 units upwards.

Step-by-step explanation:

We have been given a parent function f(x)=x^2 and a translated function f(x)=(x+5)^2+3. We are asked to determine the vertical translation from the parent function to f(x)=(x+5)^2+3.

Let us recall translation rules.

Horizontal translation:

f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}

f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}

Vertical translation:

f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}

f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}

Upon looking at our given function, we can see that the value of 'a' is positive 5 inside parenthesis, so our graph is shifted to left by 5 units.

We can also see that the value of 'a' outside parenthesis is positive 3, therefore, the graph of parent function is shifted upwards by 3 units to get the graph of function f(x)=(x+5)^2+3.

choli [55]3 years ago
4 0
The +3 is the vertical and the +5 tells you horizontal.  so this graph moves 3 up and 5 left. But since it only wants vertical that would be the +3
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Which graph or equation represents a Nonpoportional relationship A B C or D
VARVARA [1.3K]

Answer:

A

Step-by-step explanation:

A graph that represents a proportional relationship usually has the line cutting through the line of origin (0, 0).

The graph in option A does not have the line passing through the point of origin (0, 0), therefore, it does not represent a proportional relationship.

For an equation that represents a proportional relationship, it is written in the form of y = kx

Where, k is the constant of proportionality.

Therefore, the two equations given represents a proportional relationship.

7 0
2 years ago
6870000000000000 scientific notation
hjlf

Answer:

6.87 x 10^15

Step-by-step explanation:

6.87 * 10^15 = 6870000000000000

Hope this helps :)

P.S. Message me if this is wrong

P.P.S Hope you have a great day!

8 0
2 years ago
Let f(x)=x2−3x−4 . What is the average rate of change from x = 7 to x = 10? Question 6 options: 24 14 66 42
Fed [463]
Just find the slope between the points

basically find (f(10)-f(7))/(10-7)

f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66

slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
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Every integer is an irrational number.<br><br> True<br><br> False
Westkost [7]

Answer: true

Step-by-step explanation:

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