This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
The equation of the axis of symmetry of a parabola is ______. What is the vertex or turning point of the graph? What is the axis of symmetry of the graph? What is the equation of the parabola?

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Step 1: Answer Question 7.
For a parabola in the form , the equation of the axis of symmetry is given by:
The equation of the axis of symmetry of a parabola is \boxed{x = -\frac{b{2a}}}.
Step 2: Answer Question 8. The graph shows the parabola . The vertex or turning point of a parabola in the form is at the origin . This is also visible as the lowest point on the graph. The vertex or turning point of the graph is .
Step 3: Answer Question 9. The axis of symmetry for the parabola is the vertical line that passes through its vertex . This line is the y-axis. The equation of the y-axis is . Using the formula for (where , , ): The axis of symmetry of the graph is .
Step 4: Answer Question 10. The equation of the parabola is explicitly stated below the graph. The equation of the parabola is .
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Answer Question 7. For a parabola in the form y = ax^2 + bx + c, the equation of the axis of symmetry is given by: x = -(b)/(2a) The equation of the axis of symmetry of a parabola is x = -(b)/(2a).