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Write the equation of its curve.Write the coordinates of the root(s) of this quadratic function

Write the equation of its curve.Write the coordinates of the root(s) of this quadratic-example-1

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Given:

4 equations of quadratics function and the 4 sketches.

we will write the equation of each graph.

The first equation: y = x² - 6x + 8

We will find the roots of the function

y = (x- 4)(x - 2)

So, the function has 2 positive real roots x = 2, x = 4

so, it will be the function of the graph number 3

The second equation: y = (x - 6)(x + 8)

The function has 2 roots and the curve is opened up

The roots are x = 6, x = -8

The y-intercept = -48 (negative value)

So, it will be the function for the graph number 4

The third equation: y = (x-6)² + 8

The function has no real roots, this means there is no intersection between the function and the x-axis

so, the equation will be for the graph number 1

The fourth equation: y = -(x+8)(x-6)

Note: the leading coefficient is negative

So, the curve of the function is opened down

So, it will be the equation for the graph number 2

User Chris Kimpton
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