Algebra 2 Final Exam Spring 2025 - Hillson

What is the axis of symmetry of a parabola?

• A vertical line that divides the parabola into two mirror-image halves, given by @@x = -\frac{b}{2a}@@

• A horizontal line that passes through the vertex of the parabola.

• A diagonal line that intersects the parabola at two points.

• A line that is always equal to the y-coordinate of the vertex.

What is a complex number?

• A complex number is a number that can be expressed in the form @@a + bi@@, where @@a@@ and @@b@@ are real numbers and @@i@@ is the imaginary unit.

• A complex number is a number that can be expressed as a fraction of two integers.

• A complex number is a number that has no real part.

• A complex number is a number that can be represented on a number line.

Tags

CCSS.HSN.CN.A.1

What is the y-intercept of a function?

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

• The point where the graph intersects the y-axis, represented as (0, f(0)).

• The slope of the function at the origin.

• The maximum value of the function.

Solve the equation: @@4x^2 - 12x + 9 = 0@@

• @@x = rac{3}{2}@@

• @@x = 1@@

• @@x = 2@@

• @@x = rac{1}{2}@@

Tags

CCSS.HSA-REI.B.4B

Solve the inequality: 6x + 10 > 5x - 12

• x > -20

• x > -22

• x < -22

• x < -20

• 4i√2

• 8i

• 2i√8

• 4i√4

Tags

CCSS.HSN.CN.A.1

What is a quadratic equation?

• A polynomial equation of degree 2, typically in the form @@ax^2 + bx + c = 0@@.

• A linear equation of degree 1, typically in the form @@ax + b = 0@@.

• A polynomial equation of degree 3, typically in the form @@ax^3 + bx^2 + cx + d = 0@@.

• An equation that represents a straight line, typically in the form @@y = mx + b@@.

What is the range of a function?

• The set of all possible input values (x-values) that the function can accept.

• The set of all possible output values (y-values) that the function can produce.

• The difference between the maximum and minimum values of the function.

• The slope of the function at a given point.

Find the y-intercept of the function: @@f(x) = x^2 + 2x - 3@@

• (0, -3)

• (0, 0)

• (0, 3)

• (0, -1)

Tags

CCSS.HSF-IF.C.7A

What are the roots of a quadratic equation?

• The values of @@x@@ that make the equation equal to zero.

• The coefficients of the quadratic equation.

• The maximum or minimum points of the parabola.

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