Question

Use the graph of the parabola to fill in the table.

10-
(a) Does the parabola open upward or downward?
O upward
O downward
(b) Find the equation of the axis of symmetry.
equation of axis of symmetry:
(c) Find the intercept(s).
For both the x- and y-intercept(s), make sure
to do the following.
• If there is more than one, separate them
with commas.
• If there are none, select "None".
x-intercept(s):
y-intercept(s):
(d) Find the coordinates of the vertex.
vertex:

Answer 1

a. Downwards

b. =−/2

c. x-intercepts: (-4,0) and (-2,0)

y-intercept: (0,-8)

d. (-3,1)

Explanation:

a. the opening is facing downwards therefore it opens downwards

b. When a parabola is graphed in standard form, we can use the formula =−/2 in order to locate the axis of symmetry. Remember that when an equation is in standard form it appears as =^2++. We can take the values of an and b and plug them into the formula =−/2 in order to solve for x. (explanation from mometrix.com)

c. your x-intercepts are the points on the graph when the y value is equal to zero, and your y-intercepts are the points on the graph when x equals zero.

d. the vertex of a parabola is where the parabola begins to open, in this case it is (-3,1)