3 years ago

How does the graph of the function h(x)=3x^2 different from the graph of the function f(x)=x?

1 answer:

5 0

The graph of h(x) = 3x^2 is a curved "bowl" like shape that opens upward. The curve is called a parabola. The two ends go on forever upward. It has symmetry along the y axis.

In contrast, the graph f(x) = x is a straight line that goes through (0,0) and (1,1). This is known as a linear equation.

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What is the slope of the line segment? <br> a 1/4<br> b -1/4<br> c 4<br> d 4

galina1969 [7]

to get the slope of any line, we can simply use two points off of it, for this one, say (3,12) and (4,16)

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-12}{4-3}\implies \cfrac{4}{1}\implies 4$