Math Problem Statement
graph the quadratic equation f(x)=(x-1)^2
Solution
Here is the graph of the quadratic function . The parabola has its vertex at , and it opens upward.
Do you want any further details or have any questions?
Here are five related questions you might find useful:
- How do you find the vertex of a general quadratic function?
- What is the significance of the axis of symmetry in a parabola?
- How would the graph change if the function was ?
- Can you determine the y-intercept algebraically?
- How would this function shift if we added a constant to it, say ?
Tip: The vertex form of a quadratic function makes it easy to identify shifts, direction, and the vertex of the parabola.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Quadratic Functions
Graphing Parabolas
Vertex Form
Formulas
f(x) = (x - h)^2 + k
Standard form of a quadratic function: ax^2 + bx + c
Theorems
Vertex Form Theorem
Axis of Symmetry
Suitable Grade Level
Grades 9-10
Related Recommendation
Graphing the Function f(x) = (x - 3)^2 + 1: Parabolas and Vertex Form
Graphing the Parabola y = (x - 1)^2 - 4 with Vertex and Additional Points
Graphing Quadratic Functions and Parabolas
Graphing Quadratic Functions and Identifying Vertex for f(x) = 2(x + 3)^2
Graphing and Analyzing the Quadratic Function f(x) = 2(x - 1)^2 + 5