Question

use the graph of the parabola to fill in the table.
(a) does the parabola open upward or downward?
upward downward
(b) 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

one\.
x-intercept(s): x = 6, -2
tercept(s): y = 3
try again
the equation of the axis of symmetry

Explanation:

Step1: Analyze the y - intercept

The y - intercept of a parabola is the point where the graph intersects the y - axis. At this point, the x - coordinate is 0. From the graph, we can see that when x = 0, the y - value is 4 (by looking at the point where the parabola crosses the y - axis). The previous answer of y = 3 is incorrect.

Step2: Confirm the x - intercepts

The x - intercepts are the points where the parabola intersects the x - axis (y = 0). From the graph, we can see that the parabola crosses the x - axis at x=-2 and x = 6. So the x - intercepts are correct as x=-2,6.

Step3: Correct the y - intercept

Looking at the graph, when x = 0, the y - coordinate of the point on the parabola is 4. So the y - intercept is y = 4.

Answer:

(a) downward

(b)

x - intercept(s): \(-2, 6\)
y - intercept(s): \(4\)