We have the function:
()=−2(−3)^4+1
We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:
Vertical translation: f(x) - 1
= −2(−3)^4
Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:
f(x + 3) + 1 = −2()^4
Horizontal shift: f(x + 3) - 1
= −2x^4
We can make a horizontal expansion if we multiply this function by 1/2:
Horizontal expansion: ( f(x + 3) - 1 ) / 2
= -x^4
Finally, we make a reflection around the x-axis by multiplying this result by -1:
x-axis reflection: -( f(x + 3) - 1 ) / 2
= x^4
the is c.32$&$&#&#
Step-by-step explanation:
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Answer:
C
Step-by-step explanation:
Four right angles eliminates trapezoids.
Four right angles also eliminates any triangle
General quadrilaterals should be eliminated by the 4 right angles. If they have 4 right angles, the figure is not a general quadrilateral.
The answer is rectangles and squares.
Answer:
ABout another 10 billion years
Step-by-step explanation:
<u><em>Answer:</em></u>
One kilometer is
miles
<u><em>Explanation:</em></u>
<u>To convert a decimal to a fraction:</u>
1- Write the decimal as a fraction whose denominator is 1
2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point
3- Simplify the fraction you have
<u>Now, for the given problem:</u>
<u>The given decimal is 0.62, following the above steps:</u>
<u>Step 1: </u>

<u>Step 2:</u>
We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

<u>Step 3:</u>
We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

Hope this helps :)