Chapter Test
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Start by identifying the values of a, b, and c.
Graph:
To draw the graph of the related function written in standard form, we must start by identifying the values of a, b, and c.
f(x)= 3x^2-7 ⇕ f(x)=3x^2+ x+(- 7)
We can see that a=3, b= , and c=- 7. Now, we will follow three steps to graph the function.
The axis of symmetry is a vertical line with equation x=- b2a. Since we already know the values of a and b, we can substitute them into the formula.
The axis of symmetry of the parabola is the vertical line with equation x=0.
Next, we will make a table of values using x values around the axis of symmetry x=0.
| x | 3x^2-7 | y |
|---|---|---|
| - 2 | 3( - 2)^2-7 | 5 |
| - 1 | 3( - 1)^2-7 | - 4 |
| 0 | 3( 0)^2-7 | - 7 |
| 1 | 3( - 1)^2-7 | - 4 |
| 2 | 3( 2)^2-7 | 5 |
We can finally draw the graph of the function. Since a=3, which is positive, the parabola will open upwards. Let's connect the points with a smooth curve.
