Graphing Quadratic Functions and Shifts

Graphing Quadratic Functions and Shifts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial by Sean Ganon focuses on graphing quadratic functions using horizontal shifts. It explains how the H value in the function f(x) = (x - H)^2 determines the direction of the shift. If H is positive, the graph shifts right; if negative, it shifts left. Common mistakes in interpreting the H value are addressed, emphasizing that the subtraction sign is part of the function's structure. The tutorial uses Maple software to visually demonstrate these shifts, providing practical examples and encouraging viewers to explore further.

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Understanding vertical shifts

Solving quadratic equations

Graphing quadratic functions using transformations

Graphing linear functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the H value in the equation f(x) = (x - H)^2 represent?

The horizontal shift

The vertical shift

The y-intercept

The slope of the function

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If H is greater than zero, in which direction does the parabola shift?

Downwards

To the left

To the right

Upwards

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common mistake students make regarding the H value?

Ignoring the H value

Including the subtraction sign in the H value

Confusing H with K

Using H as the y-intercept

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What tool is introduced to help visualize horizontal shifts?

Graphing calculator

Maple Learn

Excel

Desmos

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What feature of Maple Learn is highlighted for visualizing shifts?

3D graphing

Parameter sliders

Data tables

Equation solver

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you adjust the view in Maple Learn to better see the graph?

Increase the font size

Switch to 3D mode

Use the scroll wheel to zoom

Change the color scheme

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