What is the vertex of #y= -5x^2 + 8x - 13 #? Algebra Quadratic Equations and Functions Quadratic Functions and Their Graphs 1 Answer Sonnhard Jul 9, 2018 #x=4/5,y=-49/5# Explanation: We get #y'(x)=-10x+8# (to find the vertex coordinates) #y'(x)=0# if #x=4/5# now we compute the #y# coordinate: #f(4/5)=-5*(16)/(25)+8*4/5-13=(32-16-65)/5=-49/5# Answer link Related questions What are the important features of the graphs of quadratic functions? What do quadratic function graphs look like? How do you find the x intercepts of a quadratic function? How do you determine the vertex and direction when given a quadratic function? How do you determine the range of a quadratic function? What is the domain of quadratic functions? How do you find the maximum or minimum of quadratic functions? How do you graph #y=x^2-2x+3#? How do you know if #y=16-4x^2# opens up or down? How do you find the x-coordinate of the vertex for the graph #4x^2+16x+12=0#? See all questions in Quadratic Functions and Their Graphs Impact of this question 1437 views around the world You can reuse this answer Creative Commons License