Understanding Function Translations with Desmos

The video tutorial covers function translations using Desmos for the digital SAT Math. It explains how to move functions in different directions without altering their shape, using the expression f(x - h) + k. The tutorial provides examples and solves questions using Desmos, demonstrating how to find minimum values, x-intercepts, and perform translations. The video concludes with information on tutoring services.

What is the main topic of the lesson introduced in the video?

• Function Translations

• Algebraic Expressions

• Geometry Basics

• Using Desmos for SAT Math

In which directions can a function be translated?

• Only up and down

• Only left and right

• In all four cardinal directions

• Diagonally only

What does the expression f(x - h) + k represent?

• A function's reflection

• A function's translation

• A function's integral

• A function's derivative

If H is positive in the expression f(x - h) + k, which direction does the function move?

• Left

• Right

• Up

• Down

In the example f(x - 3) + 2, what does the 3 indicate?

• Move 3 units right

• Move 3 units left

• Move 3 units down

• Move 3 units up

What tool is introduced to help solve function translation questions?

• Ruler

• Desmos

• Graph paper

• Calculator

In Question 1, what is the effect of adding 5 to f(x) in G(x) = f(x + 5)?

• Moves the graph 5 units up

• Moves the graph 5 units right

• Moves the graph 5 units down

• Moves the graph 5 units left

What is the minimum x-value for G(x) in Question 1?

• -13

• 5

• -5

• 0

In Question 2, what are the x-intercepts of G(x)?

• -5, -4, 0

• -3, -2, 1

• 1, 2, 3

• 0, 1, 2

What is the sum of the x-intercepts found in Question 2?

• -9

• -8

• -7

• -6