Exploring Quadratic Equations through Graphing

What shape does the graph of a quadratic equation form?

• Circle

• Parabola

• Hyperbola

• Straight line

What are the roots or zeros of a function?

• Points where the graph crosses the x-axis

• Points where the graph touches the y-axis

• Maximum points on the graph

• Minimum points on the graph

What is the first step in solving quadratic equations by graphing?

• Find the vertex of the parabola

• Get 0 on one side of the equation

• Calculate the discriminant

• Graph the equation

How do you find the solutions to a quadratic equation by graphing?

• By finding the y-intercepts

• By finding the x-intercepts

• By finding the maximum point

• By finding the points where the graph touches the y-axis

What does it mean if a quadratic equation has two solutions?

• The parabola does not touch the x-axis

• The parabola is above the x-axis

• The parabola only touches the x-axis at one point

• The parabola touches the x-axis at two points

What is the solution to the equation x^2 - 3x - 10 = 0?

• x = -2, 5

• x = 2, -5

• x = -3, 10

• x = 0, 1

What does it indicate if a quadratic equation has only one solution?

• The parabola is below the x-axis

• The parabola crosses the x-axis at two points

• The parabola does not touch the x-axis

• The vertex of the parabola is on the x-axis

How many solutions does the equation x^2 + 6x + 9 = 0 have?

• Two

• None

• Infinite

• One

If a parabola is all above the x-axis, how many solutions does the corresponding quadratic equation have?

• None

• Infinite

• Two

• One

What are the solutions for the equation 5x^2 - 10x = 0?

• x = 5, -10

• x = -1, 1

• x = 0, -2

• x = 0, 2