Answer:
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
