Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators
MATHS
Asked by Benjamin

Can someone please explain to me how to do these questions ? The coordinates of the maximum point of the graph y = f(x) are (4,3). Give the coordinates of the maximum point of the graph with equation: a) y = f(x), b) y = f(x) - 4, c) y = f(x-2) + 1?

This is a functions transformation question. What you need to know to solve this is how the addition or subtraction of a number, either within or outside of the function parentheses, i.e. f(x+...) or f(x)+..., affects the function. When you’re simply adding numbers to the function, you’re just causing a shift of the whole function in one direction. When you add or subtract a number within the parentheses, you cause a horizontal shift in the function, where adding a number means a shift to the left and adding a negative number means a shift to the right. When adding or subtracting a number to the whole function, i.e. outside the parentheses, you cause a shift in the vertical direction, and when you add a number you shift upwards and when you subtract a number you shift downwards. The answers to the questions above are therefore: a) Max at (4,3); this is simply the original function, no working is needed. b) Max at (4,-1); here you subtract 4 from the function so you shift the whole function 4 units downwards so the y coordinate changes from 3 to -1 and the x coordinate remains unaffected. c) Max at (6,4); here you subtract 2 inside the parentheses which results to a rightward shift of 2 units changing the x coordinate from 4 to 6 and then you add 1 to the whole function resulting in an upward shift of 1 unit changing the y coordinate from 3 to 4.

Fotios's profile picture
Verified
Fotios Tsitsos
·

8.1k students helped

Similar Maths questions

Maths

Asked by Taiyah

3n+4

What is Q&A on Scoodle?

At Scoodle we understand that everyone learns in a different way. Some people learn through practice, using essays and notes; others prefer video lessons to watch and learn, some just need help with a specifically hard question, while some learn best 1-on-1 tutoring sessions. At Scoodle we cater for all types of learning styles and needs. From GCSE Maths video lessons to A-level English essays and specialist educators in every subject - we’ve got you covered.

Faces of students on ScoodleFaces of students on ScoodleFaces of students on Scoodle
Scoodle has helped over 131,000 students so far

5 Maths tutors available now

Need help with Maths?

Getting expert help from a tutor is a great way to improve your Maths grades.

Badge showing the text 'New'Discover learning resources by tutors

Learn Maths with Video Lessons
GCSE Maths - Numbers
1hr 28m · 8 videos
Paja's profile picture
Paja Kruzikova
·

696 students helped

GCSE Maths - Numbers
Quadratic Inequalities
28m · 3 videos
Iqbal's profile picture
Iqbal Lokman
·

1.5k students helped

Quadratic Inequalities
GCSE Maths - Ratios
1hr 32m · 9 videos
Paja's profile picture
Paja Kruzikova
·

696 students helped

GCSE Maths - Ratios
GCSE Maths - Algebra A
56m · 6 videos
Paja's profile picture
Paja Kruzikova
·

696 students helped

GCSE Maths - Algebra A
GCSE Maths - Algebra B
1hr 14m · 7 videos
Paja's profile picture
Paja Kruzikova
·

696 students helped

GCSE Maths - Algebra B
GCSE Maths - Algebra C
1hr 27m · 9 videos
Paja's profile picture
Paja Kruzikova
·

696 students helped

GCSE Maths - Algebra C