Exploring Adding and Subtracting Rational Expressions

What are the points called where a parabola intersects the x-axis?

• Vertices

• Roots

• Apexes

• Focuses

If a parabola touches the x-axis at only one point, what is this point called?

• Apex

• Root

• Focus

• Vertex

What is the first step in finding the solutions of a quadratic equation?

• Graphing the equation

• Calculating the discriminant

• Finding the axis of symmetry

• Identifying the roots

What formula is used to find the axis of symmetry in a quadratic equation?

• x = -b ± √(b^2 - 4ac) / 2a

• -b / 2a

• b^2 - 4ac

• a^2 + b^2 = c^2

In the equation y = x^2 + 4x - 5, what is the axis of symmetry?

• x = 2

• x = 4

• x = -2

• x = -4

What is the vertex of the parabola for the equation y = x^2 + 4x - 5?

• (2, 9)

• (-2, -9)

• (2, -9)

• (-2, 9)

What does the discriminant help determine in a quadratic equation?

• The vertex

• The y-intercept

• The number of solutions

• The axis of symmetry

What is the formula for the discriminant?

• x = -b ± √(b^2 - 4ac) / 2a

• a^2 + b^2 = c^2

• -b / 2a

• b^2 - 4ac

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

• No solutions

• One solution

• Infinite solutions

• Two solutions

For the equation y = x^2 + 5x + 4, what is the value of the discriminant?

• 0

• 9

• -31

• 25