Learn how to write the equation of a radical function given transformations

Learn how to write the equation of a radical function given transformations

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers graph transformations, focusing on shifting graphs 4 units upward and reflecting them over the Y-axis. It explains how to apply these transformations to a function, specifically using a square root function as an example. The tutorial demonstrates the mathematical operations needed, such as multiplying by a negative for reflection and adding a constant for upward shifts, and concludes with graphing the transformed function.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of shifting a graph 4 units up?

The graph moves 4 units to the right.

The graph moves 4 units downwards.

The graph moves 4 units to the left.

The graph moves 4 units upwards.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you reflect a graph across the Y-axis?

Add a positive number inside the function.

Multiply by a negative inside the function.

Add a negative sign outside the function.

Subtract a number outside the function.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What transformation is applied by adding a number outside the function?

Reflecting across the X-axis.

Shifting the graph horizontally.

Rotating the graph.

Shifting the graph vertically.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the resulting function after applying the transformations: reflection across the Y-axis and shifting 4 units up?

F(x) = -sqrt(x) + 4

F(x) = sqrt(x) - 4

F(x) = sqrt(-x) + 4

F(x) = -sqrt(-x) - 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after finalizing the function with transformations?

Solve the function algebraically.

Graph the function.

Integrate the function.

Differentiate the function.

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