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motikmotik
3 years ago
6

The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^

x"
I have no idea how to answer this...
Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:


  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.
  • Multiplying by a negative flips the graph.

The graph of (-2^{x+17}) -4.3 compares to 2^x in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

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mixer [17]

Answer:

10.5 feet

Step-by-step explanation:

In this problem, we have two similar triangles:

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- The other one consists of the tree, its shadow and the hypothenuse

The two triangles are similar, so they have same proportions between their sides: therefore, we can apply the rule of three:

\frac{m}{s_m}=\frac{t}{s_t}

where

m = 36 in is the height of the mailbox

s_m=28 in is the shadow of the mailbox

t is the height of the tree

s_t=98 in is the length of the shadow of the tree

Solving for t, we find the height of the tree:

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And since

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Sviatoslav solved the quadratic equation x^2-x-1=0 by completing the square. In the process, he came up with the equivalent equa
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Answer:

x=\frac{1+\sqrt5}{2} and  x=\frac{1-\sqrt5}{2}

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Step-by-step explanation:

We are given that a quadratic equation

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We have to solve the equation by completing square and find the value of b.

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And x=\frac{1}{2}-\frac{\sqrt5}{2}=\frac{1-\sqrt5}{2}

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and b=\frac{5}{4}

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