How is the graph of #h(x)=2-x^2# related to the graph of #f(x)=x^2#? Algebra Quadratic Equations and Functions Quadratic Functions and Their Graphs 1 Answer Alan P. Nov 19, 2017 #h(x)=2-x^2# is the graph of #f(x)=x^2# reflected in the X-axis and then shifted up #2# units. Explanation: If #f(x)=x^2# then #g(x)=-x^2# is the reflection of #f(x)# in the X-axis and #h(x)=2-x^2# is (g(x)# shifted up #2# units 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 1494 views around the world You can reuse this answer Creative Commons License