Maths-

General

Easy

Question

# Graph the function f(x)= 3x^{2}-6x+2

Hint:

### For a quadratic function is in standard form, f(x)=ax2+bx+c.

A vertical line passing through the vertex is called the axis of symmetry for the parabola.

Axis of symmetry x=−b/2a

Vertex The vertex of the parabola is located at a pair of coordinates which we will call (*h, k*). where h is value of x in axis of symmetry formula and k is f(h).

## The correct answer is: (1 , -1)

### We have given a function

f(x)= 3x^{2}-6x+2

We have to draw graph of given function,

For drawing graph we will need to find some points on curves

Firstly we will find vertex of the function,

x = -b/2a

= -(-6)/2(3)

= 6 / 6

= 1

The x coordinate of the vertex is the same:

h = 1

The y coordinate of the vertex is :

k = f(h)

k = 3h^{2} - 6h + 2

k = 3(1)^{2} - 6(1) + 2

k = 3 - 6 + 2

k = -1

Therefore, the vertex is (1 , -1)

Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.

x

y

-1

11

0

2

1

-1

2

2

3

11

Plot the obtained points and draw the graph

x

y

-1

11

0

2

1

-1

2

2

3

11

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Model B:

### Two models are used to predict monthly revenue for a new sports drink. In each model, x is the number of $1 – price increases from the original $2 per bottle price.

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