# Write an equation any form for the quadratic graphed below

Asked by wiki @ in **Mathematics** viewed by 160 People

Write an equation (any form) for the quadratic graphed below

Asked by wiki @ in **Mathematics** viewed by 160 People

Write an equation (any form) for the quadratic graphed below

Answered by wiki @

The **equation **for the quadratic graphed in the figure is (**standard form**) OR (**general form**)

To write the equation for the quadratic graphed below,

we will use the **standard form of a quadratic function**, which is

Where is the **vertex **

From the graph, we observe that the **vertex **is at

∴

and

Now, to determine the value of ,

we will pick any **suitable point** on the **curve**.

Using the point

That is,

and

Put these values into the equation and solve for

We get

Then,

∴

Now, we will put the respective values of into the equation for the standard form of a quadratic function

That is,

Then,

Therefore the **equation **is

This is the **equation **in the **standard **or **vertex **form.

This equation can be further simplified to give

Therefore, the **equation **is

This is the **general form** of the equation.

Hence, the **equation **for the quadratic graphed in the figure is (**standard form**) OR (**general form**)

**Learn more here**: brainly.com/question/24978880

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