A change is applied to f x to give a new function g 2 x . This change is defined as g 2 x = 1 2 f x . Write down the coordinates of the eight points of g 2 x . Draw and label the graph of g 2 x on the same coordinate plane as f x .

According to the question, A change is applied to f x to give a new function g 2 x . This change is defined as g 2 x = 1 2 f x . Let f x = x 2 Given that, g 2 x = 1 2 f x Then, g 2 x = 1 2 x 2 The coordinates of the eight points of g 2 x are 1 , 0 . 5 , - 1 , 0 . 5 , 2 , 2 , - 2 , 2 , 3 , 4 . 5 , - 3 , 4 . 5 , 4 , 8 and 0 , 0 And the coordinates of the eight points of f x are 1 , 1 , - 1 , 1 , 2 , 4 , - 2 , 4 , 3 , 9 , - 3 , 9 , 4 , 16 and 0 , 0

Draw the graph of f x again on a new coordinate plane. A change is applied to f x to give a new function h 2 x . This change is defined as h 2 x = f 1 2 x . Write down the coordinates of the eight points of h 2 x . Draw and label the graph of h 2 x on the same coordinate plane as f x .

Let f x = x - 1 The coordinates of f x are, 0 , - 1 , 3 , 2 , - 2 , - 3 , - 4 , - 5 Given that : h 2 x = f 1 2 x Then, h 2 x = 1 2 x - 1 Now, the coordinates of the eight points of h 2 x are, 1 , - 0 . 5 , 2 , 0 , 0 , - 1 , - 1 , - 1 . 5 , - 2 , - 2 , 3 , 0 . 5 , - 3 , - 2 . 5 and 4 , 1 Now the graph of f x and h 2 x

Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 11: Exploration 4

Author:Rose Harrison, Clara Huizink, Aidan Sproat Clements & Marlene Torres Skoumal

Rose Harrison Mathematics Solutions for Exercise - Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 11: Exploration 4

Attempt the free practice questions from Exercise 11: Exploration 4 with hints and solutions to strengthen your understanding. Extended MYP Mathematics A Concept based approach Years 4 & 5 solutions are prepared by Experienced Embibe Experts.

Questions from Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 11: Exploration 4 with Hints & Solutions

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MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 4 - Function Transformations>Exploration 4>Q 3

A change is applied to $f (x)$ to give a new function $g_{2} (x)$ . This change is defined as $g_{2} (x) = \frac{1}{2} f (x)$ .

Write down the coordinates of the eight points of $g_{2} (x)$ .

Draw and label the graph of $g_{2} (x)$ on the same coordinate plane as $f (x)$ .

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 4 - Function Transformations>Exploration 4>Q 4

Make a generalization for what happens when the function $f (x)$ changes to $g (x) = a f (x)$ , when $0 < a < 1$ .

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 4 - Function Transformations>Exploration 4>Q 4

Make a generalization for what happens when the function $f (x)$ changes to $g (x) = a f (x)$ , when $a > 1$ .

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 4 - Function Transformations>Exploration 4>Q 5

Draw the graph of $f (x)$ again on a new coordinate plane. A change is applied to $f (x)$ to give a new function $h (x)$ . This change is defined as $h (x) = f (2 x)$ .

Write down the coordinates of the eight points of $h (x)$ , for example the point $(- 4, - 5)$ will become $(- 2, - 5)$ .

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 4 - Function Transformations>Exploration 4>Q 5

Draw the graph of $f (x)$ again on a new coordinate plane. A change is applied to $f (x)$ to give a new function $h (x)$ . This change is defined as $h (x) = f (2 x)$ .

Draw and label the graph of $h (x)$ on the same coordinate plane as $f (x)$ .

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 4 - Function Transformations>Exploration 4>Q 6

Draw the graph of $f (x)$ again on a new coordinate plane. A change is applied to $f (x)$ to give a new function $h_{2} (x)$ . This change is defined as $h_{2} (x) = f (\frac{1}{2} x)$ .

Write down the coordinates of the eight points of $h_{2} (x)$ .

Draw and label the graph of $h_{2} (x)$ on the same coordinate plane as $f (x)$ .

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 4 - Function Transformations>Exploration 4>Q 7

Make a generalization for what happens when the function $f (x)$ changes to $h (x) = f (a x)$ , when $0 < a < 1$ .

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 4 - Function Transformations>Exploration 4>Q 7

Make a generalization for what happens when the function $f (x)$ changes to $h (x) = f (a x)$ , when $a > 1$ .

Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 11: Exploration 4

Rose Harrison Mathematics Solutions for Exercise - Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 11: Exploration 4

Questions from Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 11: Exploration 4 with Hints & Solutions

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