Exploring Key Features of Quadratics

Miss Harper introduces quadratic functions, explaining their standard form and key features like parabolas, x-intercepts, y-intercepts, and vertex. She discusses how the sign of 'a' affects the parabola's orientation and explores the concepts of axis of symmetry and zeros. The video also covers domain and range, providing practice problems and highlighting common mistakes.

What is the standard form of a quadratic function?

• y = ax^2 + bx + c

• y = ax^2 + bx

• y = ax + b

• y = a(x-h)^2 + k

What shape does a quadratic function typically form?

• O-shape

• S-shape

• V-shape

• U-shape

What do we call the point where a parabola changes direction?

• Vertex

• Root

• Focus

• Directrix

If a parabola opens upwards, what is the coefficient 'a' considered to be?

• Positive

• Negative

• Zero

• Undefined

Which term describes the line that divides a parabola into two mirror images?

• Bisector

• Chord

• Median

• Axis of Symmetry

What does the vertex represent in a parabola?

• The intersection point with the y-axis

• Either the highest or lowest point

• The focal point

• The point where it meets the x-axis

What are the x-intercepts of a quadratic function also known as?

• Directrices

• Foci

• Zeros

• Vertices

What does the axis of symmetry in a parabola typically align with?

• The maximum y-value

• The minimum y-value

• The y-value of the vertex

• The x-value of the vertex

What is the domain of all quadratic functions in Algebra 1?

• All real numbers

• All positive numbers

• All negative numbers

• Numbers greater than zero

If the parabola opens upwards and the vertex is at y = -4, what is the range?

• y < -4

• y ≤ -4

• y > -4

• y ≥ -4