Question

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

Answer 1

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

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