Graphing Quadratic Functions and Key Features

Which form of a quadratic equation provides the x-intercepts directly?

• Standard Form

• Vertex Form

• Factored Form

• General Form

What does a negative coefficient in front of the quadratic term indicate about the parabola?

• It opens upwards

• It has no y-intercept

• It opens downwards

• It has no x-intercepts

How do you find the x-intercepts from the factored form of a quadratic equation?

• Differentiate the equation

• Integrate the equation

• Set the equation equal to one

• Set each factor equal to zero and solve for x

What is the axis of symmetry in a quadratic graph?

• A diagonal line through the vertex

• A vertical line through the vertex

• A line parallel to the x-axis

• A horizontal line through the vertex

How do you determine the x-coordinate of the vertex in factored form?

• By setting the equation to zero

• By differentiating the equation

• By averaging the x-intercepts

• By integrating the equation

What is the function notation used to find the y-coordinate of a point on the graph?

• p(x)

• f(x)

• g(x)

• h(x)

What is the y-coordinate of the vertex if the x-coordinate is 4 and the equation is in factored form?

• -2

• 0

• 4

• 2

How do you find the y-intercept of a quadratic equation?

• Set y to zero and solve for x

• Differentiate the equation

• Set x to zero and solve for y

• Integrate the equation

What is the y-intercept if the equation is in factored form and x is set to zero?

• -10

• -30

• 30

• 0

What is the general shape of the graph of a quadratic equation?

• Hyperbola

• Ellipse

• Circle

• Parabola