Math Problem Statement
Using the graphing program Desmos:
Plot the graph for equation y=x2 for -10≤x≤10.
On the same set of axes, plot another graph to demonstrate all the transformations listed below and paste the picture of the generated graph.
Reflects the given graph in the x axis
Translates the graph 3 units positively on the x axis
Translates the graph 5 units negatively on the y axis
Write the equation of the generated graph and determine the following key features of the generated graph: _________________________________________________________________
the turning point and whether it is a maximum or a minimum
the equation of the axis of symmetry
the x-intercept coordinates
the y-intercept coordinates
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Quadratic Equations
Graph Transformations
Coordinate Geometry
Formulas
General quadratic form: y = ax^2 + bx + c
Graph reflection in the x-axis: y = -f(x)
Horizontal translation: y = f(x - h)
Vertical translation: y = f(x) + k
Theorems
Symmetry of parabolas
Vertex formula for quadratic functions
Suitable Grade Level
Grades 9-12