Exploring the Discriminant and Quadratic Graphs

What is the name given to the expression under the square root in the quadratic formula?

• Determinant

• Constant

• Discriminant

• Coefficient

If the discriminant is greater than zero, how many real solutions does the quadratic equation have?

• None

• Two

• One

• Infinite

What does it mean if the discriminant of a quadratic equation is equal to zero?

• Two distinct solutions

• One repeated solution

• No real solutions

• Infinite solutions

When the discriminant is less than zero, what can be said about the solutions of the quadratic equation?

• Two real solutions

• One real solution

• Infinite solutions

• No real solutions

What is the graphical representation of a quadratic equation with a discriminant greater than zero?

• The graph is a straight line

• The graph intersects the x-axis at two points

• The graph does not touch the x-axis

• The graph touches the x-axis at one point

If a quadratic graph does not cross the x-axis, what can be inferred about its discriminant?

• It is greater than zero

• It is equal to zero

• It is less than zero

• It is infinite

Given a quadratic equation 0 = 4x^2 - 12x + 9, what is the discriminant?

• 36

• 0

• 144

• -144

For the quadratic equation 0 = x^2 + 3x + 5, how many real solutions are there?

• Infinite

• None

• One

• Two

What is the discriminant of the quadratic equation 0 = x^2 - 6x - 2?

• 44

• 36

• 0

• -44

If a quadratic equation has one repeated root, what must be true about its discriminant?

• It is infinite

• It is greater than zero

• It is equal to zero

• It is less than zero