Axis of symmetry of a function

Asked by maham237 @ in Mathematics viewed by 285 People

What is the axis of symmetry and vertex for the function f(x) = 3(x – 2)2 4?

Answered by maham237 @


we know that

The equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex

if a > 0 -----> then the parabola open upward (the vertex is a minimum)

if a < 0 -----> then the parabola open downward (the vertex is a maximum)

The axis of symmetry is equal to

x=h

In this problem let's analyze two cases

First case

f(x)=3(x-2)^{2}+4

the vertex is the point (2,4)

a=3

so

3 > 0 -----> then the parabola open upward (the vertex is a minimum)

The axis of symmetry is equal to

x=2

Second case

f(x)=3(x-2)^{2}-4

the vertex is the point (2,-4)

a=3

so

3 > 0 -----> then the parabola open upward (the vertex is a minimum)

The axis of symmetry is equal to

x=2



Similar Questions

Which function has an axis of symmetry of x 2

Asked by maham237 @ in Mathematics viewed by 280 persons

f(x) = (x − 1)^2 + 2 f(x) = (x + 1)^2 − 2 f(x) = (x − 2)^2 − 1 f(x) = (x + 2)^2 − 1

How to find the axis of symmetry of a function

Asked by admin @ in Mathematics viewed by 268 persons

What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)? The axis of symmetry is x =

What is the axis of symmetry of a quadratic function

Asked by admin @ in Mathematics viewed by 307 persons

Suppose the axis of symmetry of the graph of a quadratic function is x=6 If now root of the related quadratic equation is -1.5 what is the other root?

Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. what is the function rule for g(x)?

Asked by maham237 @ in Mathematics viewed by 360 persons

Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. What is the function rule for g(x)? A. g(x) = -x 2 - 3 B. …

How to find the axis of symmetry on a graph

Asked by admin @ in Mathematics viewed by 302 persons

Find the axis of symmetry and the vertex of the graph of y = 3x2 + 2x. The axis of symmetry is x= and the vertex is

How to find the axis of symmetry in a graph

Asked by admin @ in Mathematics viewed by 326 persons

Find the axis of symmetry and the vertex of the graph of y = 3x2 + 2x. The axis of symmetry is x= and the vertex is

How to find the axis of symmetry of a parabola

Asked by admin @ in Mathematics viewed by 305 persons

Find the axis of symmetry and vertex for the parabola y=-4x^2-32x-10

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

Asked by maham237 @ in Mathematics viewed by 356 persons

Choose the equation below whose axis of symmetry is x = 2.

Asked by maham237 @ in Mathematics viewed by 336 persons

Choose the equation below whose axis of symmetry is x = 2. y = x2 + 4x + 2 y = x2 − 4 y = x2 − 2 y …

Choose the equation below whose axis of symmetry is x = 0.

Asked by maham237 @ in Mathematics viewed by 266 persons

Choose the equation below whose axis of symmetry is x = 0. y = x2 + 2x y = x2 − 16x + 58 y = x2 + 2 y …

Overcoming fixed mindset: a step-by-step guide to cultivating a growth mindset

Asked by wiki @ in Health viewed by 1241 persons

Which of the following would best complete this list?

Asked by wiki @ in Social Studies viewed by 710 persons

What had the king decided to do before he saw the spider

Asked by vanshika149 @ in English viewed by 1103 persons

Describe the karez in your own words

Asked by rajesh064 @ in English viewed by 1260 persons

What is 8 + (x + 5)?

Asked by jaylord7 @ in Mathematics viewed by 1059 persons

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

Asked by maham237 @ in Mathematics viewed by 18337 persons

All things algebra unit 7 polygons and quadrilaterals answer key

Asked by admin @ in Mathematics viewed by 8136 persons

Gina wilson all things algebra 2016 answer key unit 11

Asked by admin @ in Mathematics viewed by 5762 persons

Unit 1 geometry basics homework 4 angle addition postulate answers

Asked by maham237 @ in Mathematics viewed by 3928 persons

Unit 6 exponents and exponential functions homework 8 answer key

Asked by maham237 @ in Mathematics viewed by 3244 persons

The manager of a vacation resort believes that the ages

Asked by maham237 @ in Mathematics viewed by 2917 persons

What is 271 403 rounded to the nearest ten thousand

Asked by maham237 @ in Mathematics viewed by 2778 persons

Unit 1 geometry basics homework 3 angle relationships answer key

Asked by maham237 @ in Mathematics viewed by 2572 persons

Homework 2 parallelograms

Asked by maham237 @ in Mathematics viewed by 2489 persons

Why would a prism beat a sphere in a competition?

Asked by maham237 @ in Mathematics viewed by 2472 persons

John wants to send a letter to peter

Asked by maham237 @ in Mathematics viewed by 2453 persons

An artist sells a painting for 20.50 but uses 5.75

Asked by maham237 @ in Mathematics viewed by 2421 persons

Unit 4 congruent triangles homework 1 classifying triangles answer key

Asked by maham237 @ in Mathematics viewed by 2413 persons

Unit 4 congruent triangles homework 2 angles of triangles

Asked by maham237 @ in Mathematics viewed by 2068 persons

Compare the values of the 2s and 5s in 55220

Asked by maham237 @ in Mathematics viewed by 1787 persons