Question

The function f(x)= x(squared) is similar to: g(x)= -3(x-5)(squared)+4. Describe the transformations. Show Graphs

Answer 1

Parent function f(x) is inverted, stretched vertically by 1 : 3, shifted 5 units right and 4 units upwards to form new function g(x).

Explanation:

The parent function graphed is f(x) = x²

This graph when inverted (parabola opening down)function becomes

g(x) = -x²

Further stretched vertically by a scale factor of 1:3 then new function becomes as g(x) = -3x²

Then we shift this function by 5 units to the right function will be

g(x) = -3(x - 5)²

At last we shift it 4 units vertically up then function becomes as

g(x) = -3(x - 5)² + 4