Mathematics High School

Choose the function that correctly identifies the transformation of f(x) = x2 shifted three units to the left and five units up.
og*) = (x - 3)2-5
og(x) = (x - 3)2 + 5
og(x) = (x + 3)2 + 5
o g() = (x + 3)2-5

Answers

Answer 1
I just learned this today. I think the answer would be c because if it is in Parentheses, it will go to the right or left depending on if it’s positive or negative and if it’s outside parentheses it will go up or down depending on if it’s positive or negative
Answer 2

The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is

g(x) = (x + 3)² + 5

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function that correctly identifies the transformation of f(x) = x² shifted three units to the left and five units up is:

g(x) = (x + 3)² + 5

To see why, we can use the following steps:

To shift a function three units to the left, we replace "x" with "(x + 3)".

This is because for any value of "x", "x + 3" represents a point that is three units to the left of "x".

To shift a function five units up, we add 5 to the entire function.

This is because for any value of "x", the value of the function is increased by 5 units.

Combining these transformations, we get:

g(x) = (x + 3)² + 5

This function represents a parabola that is shifted three units to the left and five units up from the original function f(x) = x^2.

Thus,

The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is

g(x) = (x + 3)² + 5

Learn more about functions here:

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Answer:

We conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

Step-by-step explanation:

Given

f(x) = 4x² - 1

g(x) = 1/2x + 5

h(x) = 2(x - 4)³

To determine

h(f(-1)) = ?

In order to determine h(f(-1)) first we need to determine f(-1).

substitute x = -1 in the function f(x) = 4x² - 1

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now substitute h = 3 in the function h(x) = 2(x - 4)³

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Step-by-step explanation:Answer

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1

minashi

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7 answers

44 people helped

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