The given graphs show functions which have been transformed from the quadratic parent, f(x) = x2. Determine which transformations were applied to the quadratic parent function to result in each graph. vertical stretch of 3 horizontal compression of horizontal shift right 3 horizontal shift left 3 vertical shift down 3 vertical shift up 3 reflection across the x-axis

The tansformations of were applied to the quadratic parent function to result in each graph are g(x), h(x) and d(x) with translation

Further explanation

Transformations definition is it involved by taking a preimage and transforming it in some way to produce an image.

Mathematical transformations have four main types: translation, rotation, reflection and dilation

Rotation is done by rotating an object about a fixed point without changing its size or shape

Translation is done by moving an object in space without changing its size, shape or orientation

Dilation is done by expanding or contracting an object without changing its shape or orientation

Reflection is done by flipping an object across a line without changing its size or shape

The given graphs show functions which have been transformed from the quadratic parent, f(x) = x^2f(x)=x

2

Which transformations were applied to the quadratic parent function to result in each graph?

Quadratic parent: f(x)=x^2f(x)=x

2

The graph is a parabola with V=(0,0)V=(0,0) at the origin

If x=1x=1 then f(1)=1^2 = 1f(1)=1

2

=1

Vertical shift means shifting in y axis. Whereas horizontal shift means shifting in x axis. Shift down means go to lower value of axis, whereas shift left goes to higher value of axis

For g(x)g(x) : vertical shift down 3 and horizontal shift left 3

For h(x)h(x) : reflection across the x-axis and vertical strecht of 3

          g(x)                                    h(x)                                     d(x)

vertical shift down 3     reflection across the x-axis     vertical shift down 3

horizontal shift left 3     vertical strecht of 3                 horizontal shift right 3

Step-by-step explanation: