In Exercises 7–16, sketch the graph of the quadratic function, indicating the coordinates of the vertex, the y-intercept, and the x-intercepts (if any). [HINT: See Example 1.]
To graph: The function and indicate the coordinates of the vertex, the y-intercept and x-intercept.
The provided function:
Consider the function,
Compare the equation with the standard function and find the value of and .
The values are and .
Since, therefore the parabola will be upward facing,
To graph a quadratic function, four things should be calculated first.
(iii) y- intercept
Vertex: The formula of x- coordinate of vertex is,
Substitute and in the equation .
The y-coordinate of vertex,
Substitute in the function .
Thus, coordinates of the vertex are .
x-intercept: To calculate x-intercept of the function, substitute in the equation and solve.
To find the value of x use the formula,
Substitute and in the equation
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