Question

3. Write an equation of a quadratic function that has a vertex of (-2, 4) and is more narrow than the Parent function. Answers may vary. Carefully consider the best form to write your equation in.

Answer 1

`f(x)=3(x+2)^2\text{ + 4}`

Step-by-step explanation:

The general form of a quadratic equation in the vertex form is:

`y=a(x-h)^2\text{ + k}`

where the vertex would be (h,k)

Thus, we have the equation as:

`f(x)=a(x+2)^2\text{ + 4}`

The value of a will determine how narrow the function would look when plotted

Mathematically, we have the parent function as when a = 1

The higher the value of a, the narrower the plot would look

Putting this into consideration, we have the equation as:

`f(x)=3(x+2)^2\text{ + 4}`

Kindly note that if a is 4, we would have a narrower plot than the parent function where a is adjudged to be equal to 1

However, if a is 1/3 (a positive number less than 1), we would have a broader plot