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Murljashka [212]
3 years ago
14

On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes throug

h (2, 0).Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options. The domain of the function is the set of all values x such that x is greater than or equal to one-quarter. The range of the function is all real numbers. The vertex of the function is (one-quarter, negative 6 and one-eighth). The function has two x-intercepts. The function is increasing over the interval (negative 6 and one-eighth, ∞).
Mathematics
2 answers:
Oksana_A [137]3 years ago
3 0

Answer:

The function has two x-intercepts.

The vertex of the function is (one-quarter, negative 6 and one-eighth).

Step-by-step explanation:

Given that the vertex is located at (0.25, -6)  and the parabola opens up, the function has two x-intercepts.

f(x) = 2x² - x - 6 has the following coefficients:

a = 2

b = -1

c = -6

x-coordinate of the vertex is:

x = -b/(2a)

x = 1/(2*2) = 1/4

y-coordinate of the vertex is:

f(1/4) = 2(1/4)² - 1/4 - 6 = -6 1/8

lana [24]3 years ago
3 0

Answer:

The answers are C ,D

Step-by-step explanation:

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balandron [24]

Answer:

6

Step-by-step explanation:

this should br what it looks like

6 0
3 years ago
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Ricky Bobby wants to buy a new automobile for $55,000 in 8 years. How much money must Ricky's original investment be if he makes
laila [671]

Answer:

PV= $40,279.36

Step-by-step explanation:

Giving the following information:

Number of periods= 8*12= 96 months

Interest rate= 0.039/12= 0.00325

Future value (PV)= $55,000

<u>To calculate the initial investment, we need to use the following formula:</u>

PV= FV/(1+i)^n

PV= 55,000 / (1.00325^96)

PV= $40,279.36

4 0
3 years ago
What is the coordinates for 3x - 5y = 6 and -3x - 8y = -6
Schach [20]

Answer:

the answer is 3

Step-by-step explanation:

because 3x3= 9

5x3=15 so 15-9=6  

7 0
2 years ago
6/11 of students are at a school are girls . If there are 1309 students at the school , how many are boys
Alexandra [31]
There are 714 boys in that school, you can cross multiply and divide to find the answer, if you wanna check. The way I wrote it was x (boys) / 1309 = 6/11.
3 0
3 years ago
Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(
zavuch27 [327]

Given:

The parent absolute function is

f(x)=|x|

To find:

The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.

Solution:

The translation is defined as

g(x)=kf(x+a)+b                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Parent function is translated up by 5 units. So, b=5

It is vertically stretched by a factor of 3. So, k=3.

There is no horizontal shift. So, a=0.

Now, putting k=3, a=0 and b=5 in (1), we get

g(x)=3f(x+0)+5

g(x)=3f(x)+5

g(x)=3|x|+5       [\because f(x)=|x|]

Therefore, the correct option is D.

5 0
3 years ago
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