Write an equation any form for the quadratic graphed below
Asked by wiki @ in Mathematics viewed by 217 People
Write an equation (any form) for the quadratic graphed below
Asked by wiki @ in Mathematics viewed by 217 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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