The graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
What is graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the two functions is attached with the answer below. For the first graph, we will get the parabola whose vertex lies on the origin.
For the function h(x) = 5x² + 12 the graph will again parabolic having its vertex at ( 0,12) and the parabola is more compact than the parabola of the function F(x) = x².
Therefore the graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
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