Algebra EOC Review: Quadratic Functions Insights

This video tutorial by Mystique covers quadratic functions, starting with an introduction to their standard form. It explores the attributes of parabolas, including y-intercepts, x-intercepts, and the vertex. The tutorial explains how to translate and dilate quadratic functions, affecting their shape and position. It also discusses the domain and range of these functions. The vertex form is introduced, detailing how to identify the vertex and determine the parabola's direction. The video concludes with a recap and encourages students to reach out for further assistance.

What is the standard form of a quadratic function?

• f(x) = ax + bx + c^2

• f(x) = ax^2 + bx + c

• f(x) = ax + bx^2 + c

• f(x) = ax^3 + bx + c

What shape does the graph of a quadratic function form?

• Hyperbola

• Circle

• Ellipse

• Parabola

What does the vertex of a parabola represent?

• The highest or lowest point on the graph

• The point where the graph crosses the y-axis

• The point where the graph is widest

• The points where the graph crosses the x-axis

What does the axis of symmetry of a parabola represent?

• The line where the parabola intersects the x-axis

• The maximum height of the parabola

• A vertical line that divides the parabola into two mirror images

• The horizontal distance between the vertex and the focus

How does f(x) + d affect the graph of a parabola?

• Shifts it down

• Shifts it up

• Shifts it right

• Shifts it left

What does the coefficient 'a' in a times f(x) control when dilating a parabola?

• Horizontal shift

• Vertical stretch or compression

• Vertical shift

• Horizontal stretch or compression

How does the graph of a quadratic function change when the absolute value of 'b' in f(bx) is greater than 1?

• It becomes wider horizontally

• It becomes narrower horizontally

• It compresses vertically

• It stretches vertically

What is the domain of a parabola?

• All negative x values

• All possible x values

• All positive x values

• All possible y values

In vertex form, what does 'h' represent?

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• The minimum value of the function

• The maximum value of the function

If a parabola opens downward, what can be said about the 'a' value in its equation?

• It is equal to one

• It is positive

• It is zero

• It is negative