Quadratic Functions Quiz

What is the standard form of a quadratic function?

• y = 2ax + b

• y = ax^2 + bx + c

• y = a^2 + b^2 + c^2

• y = mx + b

How do you graph a quadratic function?

• Use a scatter plot instead of a line graph

• Draw a straight line through the vertex

• Only plot points on one side of the vertex

• Plot the vertex, axis of symmetry, and a few additional points on either side of the vertex.

What is the quadratic formula used for?

• To find the sum of a geometric series

• To determine the prime factors of a number

• To calculate the area of a circle

• To find the solutions to a quadratic equation.

What is the vertex form of a quadratic function?

• y = ax^2 + bx + c

• y = a(x + h)^2 - k

• y = a(x - h)^2 + k

• y = mx + b

How do you solve a quadratic equation by factoring?

• Add the equation to another equation and then factor it

• Multiply the equation by a constant and then factor it

• Factor the equation into two binomial expressions and set each factor equal to zero to find the solutions.

• Divide the equation by a variable and then factor it

What are the key features of the graph of a quadratic function?

• Vertex, axis of symmetry, direction of opening, and x-intercepts

• Intercepts, perpendicular lines, and point of inflection

• Y-intercept, slope, and area under the curve

• Exponential growth, asymptotes, and range

What is the discriminant of a quadratic equation used for?

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

• To find the slope of the line

• To calculate the area under the curve

• To determine the y-intercept of the equation

How do you find the vertex of a quadratic function?

• Multiply the coefficient of x by 2

• Use the formula x = -b/2a

• Add the coefficients of the quadratic function

• Divide the constant term by the coefficient of x

What is the relationship between the roots of a quadratic equation and the x-intercepts of its graph?

• The x-intercepts are always imaginary numbers

• They are unrelated

• They are the same.

• The roots are always greater than the x-intercepts

How do you use completing the square to solve a quadratic equation?

• By manipulating the equation to create a perfect square trinomial, which can then be easily solved by taking the square root of both sides.

• By factoring the quadratic equation

• By using the Pythagorean theorem to find the solutions

• By guessing and checking different values