Chapter Review
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Make sure the equation is written in standard form. Identify the related function and graph it.
x=3, x=6
We are asked to solve the given quadratic equation by graphing. There are three steps to solving a quadratic equation by graphing.
The solutions of ax^2+bx+c=0 are the x-intercepts of the graph of y=ax^2+bx+c. Our equation is already written in standard form. Let's identify the function related to the equation. Equation:&x^2-9x+18=0 Related Function:&y=x^2-9x+18
y=x^2-9x+18 ⇔ y=1x^2+(- 9)x+18 We can see that a=1, b=- 9, and c=18. Now, we will follow four steps to graph the function.
x= 4.5
Calculate power
Multiply
Add and subtract terms
The y-intercept of the graph of a quadratic function written in standard form is given by the value of c. Thus, the point where our graph intercepts the y-axis is (0,18). Let's plot this point and its reflection across the axis of symmetry.
We can now draw the graph of the function. Since a=1, which is positive, the parabola will open upwards. Let's connect the three points with a smooth curve.
Let's identify the x-intercepts of the graph of the related function.
