Key Features of Quadratic Functions Explored

The video tutorial covers quadratic functions, focusing on their graphical representation as parabolas. It explains key attributes such as zeros, y-intercepts, axis of symmetry, vertex, domain, and range. The tutorial includes two examples to illustrate how to identify these attributes from a graph.

What shape does the graph of a quadratic function form?

• Ellipse

• Hyperbola

• Parabola

• Circle

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CCSS.HSF-IF.C.7A

What are the zeros of a quadratic function also known as?

• Coefficients

• Roots

• Intercepts

• Peaks

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CCSS.HSF-IF.C.7D

How is the axis of symmetry in a quadratic function's graph determined?

• x = b / 2a

• y = b / 2a

• y = -b / 2a

• x = -b / 2a

What does the vertex represent in a quadratic function's graph?

• The turning point

• The y-intercept

• The highest y-value

• The x-intercept

If a parabola opens upwards, what does its vertex represent?

• Maximum value

• X-intercept

• Y-intercept

• Minimum value

What is the domain of a parabola with arrows on both ends?

• All real numbers

• All negative numbers

• All integers

• All positive numbers

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

In the given example, what are the zeros of the quadratic function?

• x = -2, x = 2

• x = -1, x = 1

• x = 1, x = 5

• x = 0, x = 4

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CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the y-intercept of the first example discussed?

• y = 0

• y = 3

• y = 5

• y = -4

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CCSS.8.EE.B.6

CCSS.8.F.A.3

For the second example, what is the range of the quadratic function?

• y ≤ 1

• y ≥ -1

• y ≥ 1

• y ≤ -1

What symbol is used in the range of the second example to indicate the direction?

• ≤ (Less than or equal to)

• > (Greater than)

• ≥ (Greater than or equal to)

• < (Less than)

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CCSS.6.EE.B.8