Algebra 2 EOC

What is the vertex of a quadratic function?

• The point where the graph intersects the x-axis.

• The highest or lowest point on the graph, found using the formula @@x = -\frac{b}{2a}@@.

• The point where the graph intersects the y-axis.

• The midpoint of the roots of the quadratic equation.

How do you find the solution to a system of equations graphically?

• By solving the equations algebraically and comparing results.

• By plotting each equation on the same graph and identifying the point(s) where the lines intersect.

• By using a calculator to find the roots of the equations.

• By substituting values into one of the equations until a solution is found.

What does an undefined slope indicate?

• A horizontal line where y-values are constant.

• A vertical line where x-values are constant and the line does not rise or fall.

• A line that slopes downward from left to right.

• A line that slopes upward from left to right.

What is the axis of symmetry in a parabola?

• A vertical line that divides the parabola into two mirror-image halves.

• A horizontal line that divides the parabola into two equal parts.

• The point where the parabola intersects the x-axis.

• The maximum point of the parabola.

What is the discriminant of a quadratic equation?

• The discriminant is given by @@D = b^2 - 4ac@@ and determines the nature of the roots.

• The discriminant is always positive for quadratic equations.

• The discriminant is the sum of the coefficients of the quadratic equation.

• The discriminant indicates the degree of the polynomial.

What does the y-intercept represent in a linear equation?

• The point where the line crosses the x-axis.

• The value of y when x = 0.

• The slope of the line.

• The maximum value of y in the equation.

What is a quadratic function?

• A polynomial function of degree 2, typically written in the form @@f(x) = ax^2 + bx + c@@.

• A linear function represented by a straight line.

• A function that has a constant rate of change.

• A polynomial function of degree 3, typically written in the form @@f(x) = ax^3 + bx^2 + cx + d@@.

What is a system of equations?

• A set of two or more equations with the same variables, where the solution is the point(s) where the equations intersect on a graph.

• A single equation that can be solved for one variable.

• A collection of unrelated equations that do not share any variables.

• An equation that represents a straight line on a graph.

How do you represent an inequality graphically?

• Draw the boundary line and shade the region that satisfies the inequality.

• Only draw the boundary line without shading any region.

• Shade the entire graph without drawing any lines.

• Draw a circle around the inequality symbol.

What does it mean for a function to have two solutions?

• A function has two solutions when its graph intersects the x-axis at two distinct points, indicating two different x-values for which the function equals zero.

• A function has two solutions when it can be expressed in two different forms, such as linear and quadratic.

• A function has two solutions when it has a maximum and a minimum value on its graph.

• A function has two solutions when it is defined for two different intervals on the x-axis.