Key Features of Quadratics Explained

Why is the coefficient 'a' important in a quadratic function?

• It determines if the graph is a parabola.

• It can be zero.

• It affects the curvature of the parabola.

• It represents the y-intercept.

What is the standard form of a quadratic function?

• f(x) = ax^2 + bx + c

• f(x) = ax + b

• f(x) = ax^3 + bx^2 + cx + d

• f(x) = a/bx + c

What does the vertex of a quadratic graph represent?

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

• The point where the graph is widest.

• The highest or lowest point on the graph.

• The intersection point with the y-axis.

How is the axis of symmetry related to the vertex?

• It is the vertical line through the vertex.

• It is the horizontal line through the vertex.

• It intersects the vertex at a right angle.

• It is parallel to the vertex.

What are x-intercepts also known as?

• Range points.

• Vertex points.

• Maximums and minimums.

• Zeros, roots, and solutions.

How many y-intercepts can a quadratic function have?

• Zero

• Two

• Multiple

• One

What is the significance of the coefficient 'c' in the standard form of a quadratic function?

• It determines the width of the parabola.

• It affects the axis of symmetry.

• It represents the y-intercept.

• It represents the x-intercept.

What is the domain of all quadratic functions?

• All negative numbers

• Only integers

• All positive numbers

• All real numbers

How is the range of a quadratic function determined?

• From negative infinity to the vertex

• From the vertex to positive or negative infinity, depending on the vertex type

• From zero to the vertex

• From the vertex to infinity

What tool can be used to graph and analyze quadratic functions?

• Desmos

• Google Sheets

• Adobe Photoshop

• Microsoft Excel