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oksano4ka [1.4K]
3 years ago
9

Question 6 of 10

Mathematics
1 answer:
o-na [289]3 years ago
6 0
B and d should be the answer
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write the equation of the parabola and a vertex form and standard form given the following information​
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

(9)

Here (h, k) = (3, - 2), thus

y = a(x - 3)² - 2

To find a substitute (2, 3) into the equation

3 = a(2 - 3)² - 2 ( add 2 to both sides )

5 = a(- 1)² = a , then

y = 5(x - 3)² - 2 ← in vertex form

y = 5(x² - 6x + 9) - 2

   = 5x² - 30x + 45 - 2

y = 5x² - 30x + 43 ← in standard form

(10)

Here (h, k) = (2, - 5), thus

y = a(x - 2)² - 5

To find a substitute (5, 4) into the equation

4 = a(5 - 2)² - 5 ( add 5 to both sides )

9 = a(- 3)² = 9a ( divide both sides by 9 )

a = 1

y = (x - 2)² - 5 ← in vertex form

y = x² - 4x + 4 - 5

y = x² - 4x - 1 ← in standard form

4 0
3 years ago
Read 2 more answers
HELP ASAP PLEASE <br> Find the area of the figure.
WITCHER [35]

Answer:

39.82

Step-by-step explanation:

to find the entire area of the figure, you'll have to split it up into two parts:

   a. triangle

   b. semi-circle

therefore, the formula for the area of a triangle is 1/2(base)(height). in simpler terms, it means to multiply 1/2 by the base and the height. in this case, multiply 1/2 x 5 x 12, which gives you 60/2, which ultimately gives you 30.

to find the area of the semi circle, use the area formula for a circle and divide the area by 2. the formula is: πr^{2}. so, plug in your lengths. this gives you, π(5)^2. divide this by two. you should get an answer of 9.82

finally, add your two areas (30+9.82), which equals 39.82

hope this helps!<3

4 0
2 years ago
If the frequencies of all possible outcomes of an event are the same the distribution is
marusya05 [52]
1. D
2. C
3. B
4. C
5. C
6. D
5 0
3 years ago
Which of the following equations have exactly one solution?
marysya [2.9K]

Answer: all of them

Step-by-step explanation:

4 0
3 years ago
( x − 6 )^2 = -4 X =?
grandymaker [24]
There is 2 answers + and -. The i represents a imaginary number... the answer is 6+2i, 6-2i.
8 0
3 years ago
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