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pickupchik [31]
3 years ago
10

The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equa

tion in vertex form for this parabola .
Mathematics
1 answer:
Sedaia [141]3 years ago
4 0

Answer:

<h3>               f(x) = 6(x - 2)² + 3</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k    - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means:  a>0

"the parabola has x = 2 as an axis of symmetry" means:  h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and  k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

                                     <u> f(x) = 6(x - 2)² + 3</u>

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3 years ago
If u +6=3 and v-4 = -2, what is the value of u + v?
Nadusha1986 [10]

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6 0
2 years ago
Malala is following this recipe for bread rolls.
arsen [322]

Answer:

Apart from the 200 grams of water, Malala will use 220 grams of flour, 4.8 grams of salt, 4 grams of yeast and 12 miligrams of oil.

Step-by-step explanation:

Since Malala uses 200 ml of water for her bread rolls, when the recipe indicates that 500 ml should be used, this implies that she is using 40% of the indicated measures.

Therefore, to know how much use of the remaining products, following with the same proportion, the following calculations must be made:

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7 0
3 years ago
How do you solve the other ones
iris [78.8K]
Question 1:
AB = 9 ... Because opposite sides are equal
AC = 22 .... Just multiply 11 by 2
BE = 7 ... Same as the other half the diagonal
m∠BAD = 49 degrees... Same as ∠ACD
m∠ADC = 77 degrees... Add 27 and 49
m∠ABD = 60 degrees ... 180 - 27 - 49 - 43

Question 2:
7x -13 + 4x - 5 = 180
11x = 198
x = 18
7x - 13 = 7(18) - 13 =113
m∠PSR = 113

Question 3:
16x - 17 = 10x + 1
6x = 18
x=3
m∠QPT = 90 - (10x+1) = 59

Have an awesome day! :)
3 0
3 years ago
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Brilliant_brown [7]

Answer:

B) Domain: -2≤x≤2   Range: -2≤x≤3

Step-by-step explanation:

The domain is the x-values, in this case all the numbers between -2 and 2.  The range is the y-values, which are the numbers between -2 and 3.  So the answer is

B) Domain: -2≤x≤2

Range: -2≤x≤3

4 0
3 years ago
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