Write a quadratic equation given the roots -1/3 and 5, show your work

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

Here we can convert the expression x+1/3 to this.

Rewrite the equation.

Simplify by multiplying both expressions.

Answer Check

Substitute the given roots in the equation.

The equation is true for both roots.

Answer

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

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step-by-step explanation: