A) To find the x intercepts of a parabola we have to set the whole equation equal zero because the x intercept is when y equal zero in other words where f(x) equal zero.

$2x^{2}$ - 3x - 5 = 0 Now solve using quadratic formula.

x = -b± $\frac{\sqrt{b^2 -4ac } }{2a}$

x = 3 ± $\sqrt{9+40} /2a$

x = 3 ± $\sqrt{49}$ / 2a

x= 3 ± 7 /4

x= -1 or x = 5/2

The x intercepts are (5/2,0) and (-1,0)

B) The graph vertex of the graph of f(x) is going to be at a minimum because the leading coefficient of the function has a positive integer which means the parabola will open up and its vertex will be at the minimum point.

Using the x coordinates we could find their average and find the x coordinate of the vertex.

$\frac{5}{2} + -\frac{1}{1}$ = $\frac{3}{2} / \frac{2}{1}$ = 3/4

The x coordinate of the vertex is 3/4 so we will input that into the equation and solve for the y coordinate

$2(\frac{3}{4})^2 - 3 (\frac{3}{4}) - 5$ = 18/16 - 9/4 -5 = -49/8

The y coordinate of the vertex is -49/8

So the vertex is (3/4, -49/8)

C) First I will graph the vertex and then graph he two x intercepts and connect then like a U shape.

5 0

3 years ago

PLEASE HELP ME!!!!! I need Help Please With the 2nd question please any help me

galina1969 [7]

Hello,
Please, see the attached file.
Thanks.

3 0

3 years ago

For each example, select the type of transformation shown. Then write if the figures are similar or congruent in the space provi

Pavel [41]

Answer:

i got them right

Step-by-step explanation:

A is translated and congruent

B is dilated and similar

C is reflected and congruent

depending on how your quiz is when is say and then a word like "congruent" that word is the one you type in and the other word translated,dilated and reflected is from the drop down bar. any questions on how this is set up

6 0

2 years ago