Math Tutoring on Graphing Quadratic Functions
A quadratic function looks like ax² + bx + c, where a, b and c are just numbers. Quadratic functions can be of the following forms:
1) Standard form f(x) = ax² + bx + c where a, b, and c are real numbers and a is not equal to zero.
2) Vertex form f(x) = a(x - h)² + k where a, h, and k are real numbers and a does not equal zero.
Following are the steps to graph quadratic functions:
Step 1: Determine which form of quadratic functions.
Step 2: Define your variables a, b, and c (or a, h, and k).
Step 3: Calculate h and k. Plot the vertex.
Step 4: If necessary, find and plot the x and y intercept.
Step 5: If necessary, plot additional points, then graph.
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1. How do you graph a function?
2. How do you graph in standard form?
3. How do you find the x intercept in vertex form?
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