# Write an equation any form for the quadratic graphed below

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

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)

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