Math / Algebra

QuestionMove the graph of the function $(x+0)^{\frac{1}{3}}$ to the left 5 units and provide the new equation.

Studdy Solution

STEP 1

1. The original function is $f(x) = (x+0)^{\frac{1}{3}}$ .
2. We need to move the graph of this function to the left by 5 units.
3. The transformation involves a horizontal shift.

STEP 2

1. Understand the effect of horizontal shifts on function graphs.
2. Apply the horizontal shift to the original function.
3. Write the new equation of the transformed function.

STEP 3

Understand the effect of horizontal shifts on function graphs.
A horizontal shift to the left by $h$ units is represented by replacing $x$ with $x + h$ in the function.

STEP 4

Apply the horizontal shift to the original function.
Since we want to move the graph 5 units to the left, we replace $x$ with $x + 5$ in the original function.

STEP 5

Write the new equation of the transformed function.
The new function after shifting 5 units to the left is:
$f(x) = (x + 5)^{\frac{1}{3}}$

Was this helpful?

QuestionMove the graph of the function $(x+0)^{\frac{1}{3}}$ to the left 5 units and provide the new equation.

Studdy Solution

STEP 1

1. The original function is $f(x) = (x+0)^{\frac{1}{3}}$ .
2. We need to move the graph of this function to the left by 5 units.
3. The transformation involves a horizontal shift.

STEP 2

1. Understand the effect of horizontal shifts on function graphs.
2. Apply the horizontal shift to the original function.
3. Write the new equation of the transformed function.

STEP 3

Understand the effect of horizontal shifts on function graphs.
A horizontal shift to the left by $h$ units is represented by replacing $x$ with $x + h$ in the function.

STEP 4

Apply the horizontal shift to the original function.
Since we want to move the graph 5 units to the left, we replace $x$ with $x + 5$ in the original function.

STEP 5

Write the new equation of the transformed function.
The new function after shifting 5 units to the left is:
$f(x) = (x + 5)^{\frac{1}{3}}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionMove the graph of the function (x+0)13(x+0)^{\frac{1}{3}}(x+0)31​ to the left 5 units and provide the new equation.

Studdy Solution

STEP 1

1. The original function is f(x)=(x+0)13 f(x) = (x+0)^{\frac{1}{3}} f(x)=(x+0)31​.2. We need to move the graph of this function to the left by 5 units.3. The transformation involves a horizontal shift.

STEP 2

1. Understand the effect of horizontal shifts on function graphs.2. Apply the horizontal shift to the original function.3. Write the new equation of the transformed function.

STEP 3

Understand the effect of horizontal shifts on function graphs.A horizontal shift to the left by h h h units is represented by replacing x x x with x+h x + h x+h in the function.

STEP 4

Apply the horizontal shift to the original function.Since we want to move the graph 5 units to the left, we replace x x x with x+5 x + 5 x+5 in the original function.

STEP 5

Write the new equation of the transformed function.The new function after shifting 5 units to the left is:f(x)=(x+5)13 f(x) = (x + 5)^{\frac{1}{3}} f(x)=(x+5)31​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionMove the graph of the function $(x+0)^{\frac{1}{3}}$ to the left 5 units and provide the new equation.

1. The original function is $f(x) = (x+0)^{\frac{1}{3}}$ .
2. We need to move the graph of this function to the left by 5 units.
3. The transformation involves a horizontal shift.

1. Understand the effect of horizontal shifts on function graphs.
2. Apply the horizontal shift to the original function.
3. Write the new equation of the transformed function.

Understand the effect of horizontal shifts on function graphs.
A horizontal shift to the left by $h$ units is represented by replacing $x$ with $x + h$ in the function.

Apply the horizontal shift to the original function.
Since we want to move the graph 5 units to the left, we replace $x$ with $x + 5$ in the original function.

Write the new equation of the transformed function.
The new function after shifting 5 units to the left is:
$f(x) = (x + 5)^{\frac{1}{3}}$