Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
Chapter 2.5, Problem 80AYU
To determine
To graph: Complete the square of the quadratic expression , then graph the function using the technique of shifting.
Expert Solution & Answer
Explanation of Solution
Given:
Add +2 and in
Graph:
Now use the following steps to obtain the graph of .
Step 1: The function is the square function.
square function.
Step 2: To obtain the graph of , replace by from each on the graph of , that it is shifted left 1 unit.
replace by ; horizontal shift left 1 unit.
Step 3: To obtain the graph of , multiply each of the graph of by 3, that it is vertically stretched by the factor of 3.
multiply by 3, vertically stretched by a factor of 3.
Step 4: To obtain the graph of , subtract 2 from each on the graph of , that it is shifted down 2 units.
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