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Goryan [66]
2 years ago
13

Write an equation for a quadratic function in vertex form with a vertex of (3,1) that has the point

Mathematics
1 answer:
postnew [5]2 years ago
7 0

Answer:

y = (x - 3)² + 1

Step-by-step explanation:

the equation of a quadratic function in vertex form is

y = a(x - h)² + k

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

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute (1, 5 ) into the equatiuon

5 = a(1 - 3)² + 1 ( subtract 1 from both sides )

4 = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

then equation of quadratic function is

y = (x - 3)² + 1

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Find the total area of a cylinder whose radius is 2 cm and height is 4 cm.
kolezko [41]

Answer:

78.95cm^2

Step-by-step explanation:

The equation for a cylinder is rπ^2 · h

2π²·4≈78.95

4 0
3 years ago
A bus traveled 336 miles in 7 hours.It traveled the same number of miles each hour.If the bus continues at the same number of mi
Leno4ka [110]

Answer:

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Step-by-step explanation:

7 0
4 years ago
1. Given f(x) = 3x -4 and g(x)=-2x + 7. evaluate:<br> f(f(3))
hichkok12 [17]

Answer:

f(f(3))=11.....

hope it helps u

5 0
3 years ago
Read 2 more answers
The graph of the equation y = 3x − 4 is shown. What statement is true about every point on the graph? Math item stem image CLEAR
8090 [49]

Answer:

C. If you triple the x-coordinate and then subtract 4, you get the y-coordinate.

Step-by-step explanation:

We are given the graph of the equation y = 3x -4 as shown below.

Substituting x =3 in the equation gives us,

y = 3x - 4

i.e. y = 3 × 3 - 4

i.e. y = 9 - 4

i.e. y = 5

Thus, we get the point ( x,y ) = ( 3,5 ).

Here, x = 3 < 5 = y.

So, option A is not correct.

Also for ( 3,5 ), we have y = 5 = 3 + 2 = x + 2 i.e. y is not 3 less than x.

This shows that option B is also not correct.

If we put x = 0 in the equation, we get y = 3x -4 i.e y = -4.

Thus, both x and y co-ordinate do not have the same sign.

So, option D is wrong.

Hence, option C is correct i.e. we get the y-coordinate, when we triple the x-coordinate and then subtract 4.

3 0
4 years ago
During last year Adam's height increased from 125 cm to 135 cm. By how many percents did it change?
arlik [135]

he increase from 125cm to 135cm

first step :

135 - 125  = 10cm

second step :

percents he change is

\frac{10 \times 100\%}{ 125}  = 8\%

6 0
3 years ago
Read 2 more answers
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