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3 years ago

3. WEDNESDAY (5/20): The minimum of the graph of a quadratic function is located at (-1,2). The point (2, 2015

Mathematics

1 answer:

Vadim26 [7]3 years ago

8 0

Answer:

C.) f(x) = 2x^2 + 4x + 4

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y=a(−h+x)^2+k.

Thus, the equation of the parabola is y=a(x+1)^2+2.

To find a, use the fact that the parabola passes through the point (2,20): 20=9a+2.

Solving this equation, we get that a=2.

Thus, the equation of the parabola is y=2(x+1)^2+2.

TO STANDARD FORM

= 2*(x^2+2x+1)+2

=(2x^2+4x+2)+2

= 2x^2+4x+2+2

= 2x^2+4x+4

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Katarina [22]

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The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm?

77julia77 [94]

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Let these letters represent the problem:

a = 8.7

b = side 2

c = side 3

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To find the perimeter, we just need to add all the sides [ P = a + b + c ]

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Please help! Thank you so much!

igor_vitrenko [27]

Angle W:

180 = 90 + 57 + W

180 = 147 + W

W = 33 degrees

Using trigonometry functions to find the side lengths. (SOH CAH TOA)

Side XZ:

cos(57) = XZ / 18

XZ = cos(57) x 18

XZ = 9.8 units

Side XW:

sin(57) = XW / 18

XW = sin(57) x 18

XW = 15.1 units

Hope this helps!! :)

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