Question Function Find the vertex Find the axis of symmetry Evaluate the derivative Load more (0,0) Evaluate y=−16t2×36Simplify y=−576t2Find the t-coordinate of the vertex by substituting a=−576 and b=0 into t = −2ab t=−2(−576)0Solve the equation for t t=0Find the y-coordinate of the vertex by evaluating the function for t=0 y=−576×02Calculate More Steps Evaluate −576×02Calculate −576×0Any expression multiplied by 0 equals 0 0 y=0Solution (0,0) Show Solution Solve the equation Solve for t Solve for y t=24−yt=−24−y Evaluate y=−16t2×36Simplify y=−576t2Swap the sides of the equation −576t2=yChange the signs on both sides of the equation 576t2=−yDivide both sides 576576t2=576−yDivide the numbers t2=576−yUse b−a=−ba=−ba to rewrite the fraction t2=−576yTake the root of both sides of the equation and remember to use both positive and negative roots t=±−576ySimplify the expression More Steps Evaluate −576yTo take a root of a fraction,take the root of the numerator and denominator separately 576−ySimplify the radical expression More Steps Evaluate 576Write the number in exponential form with the base of 24 242Reduce the index of the radical and exponent with 2 24 24−y t=±24−ySolution t=24−yt=−24−y Show Solution Graph