a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.
b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.
c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.
d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.
e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.

8 0

3 years ago

-Dominant- [34]

Direction: Isolate the variable by dividing each side by factors that don't contain the variable.

Here are the answers for all 15 questions:

1) x < - 2

2) x < 4

3) x > - 15/7

4) y < 28/5

5) x > 6

6) y > - 10/9

7) 0 < 333

8) x > 2

9) x > - 10

10) y > - 3

11) y > - 4

12) x > 3

13) x < 9/8

14) x > - 2

15) h < 7/2

4 0

2 years ago

saveliy_v [14]

Answer:

x = -4

Step-by-step explanation:

7 0

2 years ago

Sergio039 [100]

Answer:

Step-by-step explanation:

6 0

2 years ago