Algebra Examples
f(x)=−4(x+2)2+5
Step 1
Write f(x)=−4(x+2)2+5 as an equation.
y=−4(x+2)2+5
Step 2
Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.
−4(x+2)2+5=y
Step 3
Subtract 5 from both sides of the equation.
−4(x+2)2=y−5
Step 4
Step 4.1
Divide each term in −4(x+2)2=y−5 by −4.
−4(x+2)2−4=y−4+−5−4
Step 4.2
Simplify the left side.
Step 4.2.1
Cancel the common factor of −4.
Step 4.2.1.1
Cancel the common factor.
−4(x+2)2−4=y−4+−5−4
Step 4.2.1.2
Divide (x+2)2 by 1.
(x+2)2=y−4+−5−4
(x+2)2=y−4+−5−4
(x+2)2=y−4+−5−4
Step 4.3
Simplify the right side.
Step 4.3.1
Simplify each term.
Step 4.3.1.1
Move the negative in front of the fraction.
(x+2)2=−y4+−5−4
Step 4.3.1.2
Dividing two negative values results in a positive value.
(x+2)2=−y4+54
(x+2)2=−y4+54
(x+2)2=−y4+54
(x+2)2=−y4+54
Step 5
Step 5.1
Combine the numerators over the common denominator.
(x+2)2=−y+54
Step 5.2
Factor −1 out of −y.
(x+2)2=−(y)+54
Step 5.3
Rewrite 5 as −1(−5).
(x+2)2=−(y)−1(−5)4
Step 5.4
Factor −1 out of −(y)−1(−5).
(x+2)2=−(y−5)4
Step 5.5
Move the negative in front of the fraction.
(x+2)2=−y−54
Step 5.6
Reorder terms.
(x+2)2=−(14(y−5))
Step 5.7
Remove parentheses.
(x+2)2=−14(y−5)
(x+2)2=−14(y−5)
