Graphing Quadratic Equations

Graphing Quadratic Equations

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

CCSS
HSF-IF.C.7A, HSA-REI.B.4B

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the range of a quadratic function with a vertex at (h, k) where k is the minimum value?

Back

The range is y ≥ k.

Tags

CCSS.HSF-IF.C.7A

2.

FLASHCARD QUESTION

Front

What is the axis of symmetry for a quadratic function in the form y = ax^2 + bx + c?

Back

The axis of symmetry is x = -b/(2a).

3.

FLASHCARD QUESTION

Front

What are the coordinates of the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

The vertex coordinates are (-b/(2a), f(-b/(2a))).

4.

FLASHCARD QUESTION

Front

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

Back

Set x = 0 in the equation y = ax^2 + bx + c.

Tags

CCSS.HSF-IF.C.7A

5.

FLASHCARD QUESTION

Front

What is the general shape of a quadratic graph?

Back

A parabola, which opens upwards if a > 0 and downwards if a < 0.

Tags

CCSS.HSF-IF.C.7A

6.

FLASHCARD QUESTION

Front

What does the 'a' value in the quadratic equation y = ax^2 + bx + c determine?

Back

It determines the direction and width of the parabola.

Tags

CCSS.HSF-IF.C.7A

7.

FLASHCARD QUESTION

Front

If a quadratic function has no real roots, what can be said about its graph?

Back

The graph does not intersect the x-axis.

Tags

CCSS.HSF-IF.C.7A

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