Solving Quadratic Equations by Graphing

What is the standard form of a quadratic equation?

• ax^2 + bx = 0

• ax + b = 0

• ax^2 + bx + c = 0

• ax^2 + c = 0

How many solutions can a quadratic equation have?

• One

• Two

• Zero or more

• Three

What does a double root in a quadratic equation imply?

• The graph does not touch the x-axis

• The graph is above the x-axis

• The graph touches the x-axis at two points

• The graph touches the x-axis at one point

What is the significance of the vertex in the graph of a quadratic equation?

• It is the highest or lowest point on the graph

• It determines the x-intercepts

• It shows the maximum number of solutions

• It indicates the coefficient of x

How do you find the axis of symmetry in a quadratic graph?

• x = -b/2a

• x = b/2a

• x = -b/a

• x = a/b

What does the sign of 'a' in a quadratic equation indicate about the graph?

• Slope of the graph

• Y-intercept of the graph

• Number of x-intercepts

• Direction it opens

If a quadratic equation is non-factorable, what can be inferred about its solutions?

• It has one solution

• It has two solutions

• It has no real solutions

• It has infinite solutions

In the context of quadratic equations, what does the term 'roots' refer to?

• Degree of the equation

• Solutions of the equation

• Coefficients of the equation

• None of the above

What is the role of the Y-intercept in the graph of a quadratic equation?

• It determines the vertex of the parabola

• It is where the graph crosses the y-axis

• It indicates the maximum height of the graph

• It shows the spread of the graph

How long was the ball in the air according to the word problem discussed?

• 10 seconds

• 6 seconds

• 12 seconds

• 8 seconds