Question Function Find the vertex Find the axis of symmetry Evaluate the derivative Load more (0,0) Evaluate a=4πr2Find the r-coordinate of the vertex by substituting a=4π and b=0 into r = −2ab r=−2×4π0Solve the equation for r r=0Find the y-coordinate of the vertex by evaluating the function for r=0 a=4π×02Calculate More Steps Evaluate 4π×02Calculate 4π×0Any expression multiplied by 0 equals 0 0 a=0Solution (0,0) Show Solution Solve the equation r=2ππar=−2ππa Evaluate a=4πr2Swap the sides of the equation 4πr2=aDivide both sides 4π4πr2=4πaDivide the numbers r2=4πaTake the root of both sides of the equation and remember to use both positive and negative roots r=±4πaSimplify the expression More Steps Evaluate 4πaTo take a root of a fraction,take the root of the numerator and denominator separately 4πaSimplify the radical expression More Steps Evaluate 4πRewrite the expression 4×πSimplify the root 2π 2πaMultiply by the Conjugate 2π×πa×πCalculate 2πa×πCalculate More Steps Evaluate a×πThe product of roots with the same index is equal to the root of the product aπCalculate the product πa 2ππa r=±2ππaSolution r=2ππar=−2ππa Show Solution Graph