Quadratic Functions Review

What is the general form of a quadratic function?

• y = a^2 + b^2 + c^2

• y = mx + b

• y = 2ax + b

• y = ax^2 + bx + c

How do you graph a quadratic function?

• Graph the quadratic function by connecting the x and y intercepts

• Use the vertex form or standard form to identify the vertex, axis of symmetry, and direction of opening, then plot the vertex and use the axis of symmetry to find additional points to graph the parabola.

• Use the slope-intercept form to identify the vertex and plot the parabola

• Use the point-slope form to identify the vertex and plot the parabola

Tags

CCSS.HSF-IF.C.7A

What is the quadratic formula used for?

• To determine the prime factors of a number

• To find the derivative of a function

• To find the solutions to a quadratic equation.

• To calculate the area of a circle

Tags

CCSS.HSA-REI.B.4B

What is the vertex form of a quadratic function?

• y = a(x + h)^2 - k

• y = a(x - h)^2 + k

• y = a(x - h) + k

• y = a(x + h)^2

What is the vertex of a parabola?

• The vertex is the highest point of the parabola.

• The vertex is the lowest point of the parabola.

• The vertex is the point where the parabola changes direction.

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

How do you find the axis of symmetry of a parabola?

• By using the formula x = -b/2a

• By calculating the slope of the parabola

• By finding the y-intercept

• By using the Pythagorean theorem

What are the roots of a quadratic function?

• The roots of a quadratic function are the solutions to the equation f(x) = 0.

• The roots of a quadratic function are the maximum and minimum points on the graph.

• The roots of a quadratic function are the points where the function is undefined.

• The roots of a quadratic function are the solutions to the equation f(x) = 1.

Tags

CCSS.HSF-IF.C.7D

How do you solve a quadratic equation using the quadratic formula?

• Guess randomly and hope for the best

• Identify the coefficients a, b, and c in the equation and use the quadratic formula to find the values of x.

• Ask someone else to solve it for you

• Use the Pythagorean theorem to find the values of x

Tags

CCSS.HSA-REI.B.4B

What is the discriminant of a quadratic equation used for?

• To determine the y-intercept of the equation

• To determine the nature of the roots of the equation.

• To find the slope of the line

• To calculate the area under the curve

Tags

CCSS.HSA-REI.B.4B

How do you convert a quadratic function from standard form to vertex form?

• Complete the square

• Divide the equation by a variable

• Use the quadratic formula

• Multiply the equation by a constant