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Naddik [55]
3 years ago
6

Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to

verify
your prediction.)
y = 2x + 6
a. w-shaped; y-intercept (0,6); symmetrical with respect to the y-axis
b. o-shaped; y-intercept (0,6); symmetrical with respect to the y-axis
U-shaped; y-intercept (6, 0); assymmetrical with respect to the y-axis
n-shaped; y-intercept (0,6); assymmetrical with respect to the y-axi
Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

Answer:

u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis

Step-by-step explanation:

Given that y = 2x² + 6

The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.

For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.

Therefore y = 0² + 6 = 0

The intercept is at (0,6) and is symmetrical with respect to the y-axis

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First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

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