This function is a transformation of the parent function y=x^2 by shifting the graph 5 units up.
The graph of y=x^2 is a parabola that opens upwards and passes through the origin (0,0).
The graph of y=x^2+5 is also a parabola that opens upwards, but it has been shifted 5 units up from the parent function. This means that all points on the graph of y=x^2+5 will be 5 units higher than the corresponding points on the graph of y=x^2.
In summary, the graph of y=x^2+5 is a parabola that is shifted 5 units up from the parent function y=x^2.
Directions: Graph each function. Describe how it compares to the parent function shown on the graph
8.y=x^2+5
Transformation:
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