Question

write the equation for a quadratic function in vertex form that opebs down shifts 8 units to the left and 4 units down .

Answer 1

STEP - BY STEP EXPLANATION

What to find?

Equation for a quadratic equation.

Given:

Shifts 8 unit to the left.

4 units down

Step 1

Note the following :

• The parent function of a quadratic equation in general form is given by;

`y=x^2`

• If f(x) shifts q-units left, the f(x) becomes, f(x+q)

,

• If f(x) shift m-units down, then the new function is, f(x) -m

Step 2

Apply the rules to the parent function.

8 units to the left implies q=8

4 units down implies m= 4

`y=(x+8)^2-4`

ANSWER

y= (x+8)²- 4