Which graph best represents y= -x 2 + 2
1 answer:
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Answer:
Step-by-step explanation:
Here are some rules you need to simplify this expression:
Distribute exponents: When you raise an exponent to another exponent, you multiply the exponents together. This includes exponents that are fractions.
Negative exponent rule: When an exponent is negative, you can make it positive by making the base a fraction. When the number is apart of a bigger fraction, you can move it to the other side (top/bottom). , and to help with this question:
.
Multiplying exponents with same base: When exponential numbers have the same base, you can combine them by adding their exponents together.
Dividing exponents with same base: When exponential numbers have the same base, you can combine them by subtracting the exponents.
Fractional exponents as a radical: When a number has an exponent that is a fraction, the numerator can remain the exponent, and the denominator becomes the index (example, index here ∛ is 3).
Distribute exponent
Simplify each exponent by multiplying
Negative exponent rule
Combine the like terms in the numerator with the base "q"
Rearranged for you to see the like terms
Multiplying exponents with same base
2 + 1/3 = 7/3
Fractional exponents as radical form
Simplified cubes. Wrote brackets to lessen confusion. Notice the radical of a variable can't be simplified.
Multiply 4 and 3
Dividing exponents with same base
Subtract the exponent of 'p'
Negative exponent rule
Final answer
Here is a version in pen if the steps are hard to see.
1) / sin x / = y ≥ 0 ;
We solve the equation
a = 1 ; b = 1 ; c = - 2 ;
y1 = ( - 1 + 3 ) / 2 = 1 ≥ 0 ( correct ) ;
y2 = ( - 1 - 3 ) / 2 = - 2 ≥ 0 ( false ) ;
Then, / sin x / = 1 ;
sinx = + 1 or sin x = - 1 ;
x ∈ { 90 } U { 270 } ;
x ∈ {90 , 270}.
We solve the equation
a = 1 ; b = 1 ; c = - 2 ;
y1 = ( - 1 + 3 ) / 2 = 1 ≥ 0 ( correct ) ;
y2 = ( - 1 - 3 ) / 2 = - 2 ≥ 0 ( false ) ;
Then, / sin x / = 1 ;
sinx = + 1 or sin x = - 1 ;
x ∈ { 90 } U { 270 } ;
x ∈ {90 , 270}.