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fomenos
3 years ago
6

Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?

Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0

Answer: g(x)=(3)^{-x}

Step-by-step explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function f(x) will become f(-x) .

Now, the given function :f(x)=(3)^x

Then , after reflection across y axis the new function will become:

g(x)=f(-x)=(3)^{-x}

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PLZ help i do know the answer to this already from another brainly question but i just would like to understand how its solved s
amm1812

Answer:

  • 66.56 cm

Step-by-step explanation:

<u>The figure consist of:</u>

  • 1. A rectangle with sides 10 cm and 17 cm
  • 2. A quarter circle

<u>The perimeter is:</u>

  • P = 1/4C + 2*10 + 17 + (17 - 8) + 8
  • P = 1/4*2*3.14*8 + 54 = 66.56 cm
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2 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

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3 years ago
a nature clubs has 37 member.each member receives 15 fish to put aquarium . if 20 of total number of fish or put into a fish bow
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Answer:

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Step-by-step explanation:

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