What is the axis of symmetry in a quadratic function?

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation $$x = h$$ , where h is the x-coordinate of the vertex.

How can you convert a quadratic equation from standard form to vertex form?

You can convert by completing the square on the standard form equation $$y = ax^2 + bx + c$$ .

What is the significance of the coefficient 'a' in a quadratic equation?

The coefficient 'a' determines the direction of the parabola: if a > 0, it opens upwards; if a

What is the maximum or minimum value of a quadratic function?

The maximum or minimum value occurs at the vertex. If a > 0, the vertex is a minimum; if a

How do you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, and roots, then plot these points and draw a smooth curve through them.

What is the relationship between the roots and the factors of a quadratic equation?

The roots of a quadratic equation correspond to the values of x that make each factor equal to zero, thus the equation can be expressed in factored form using these roots.

What is the role of the constant 'c' in the standard form of a quadratic equation?

The constant 'c' represents the y-intercept of the quadratic function, which is the point where the graph intersects the y-axis.

How do you identify the direction of a parabola from its equation?

You can identify the direction of a parabola by looking at the coefficient 'a': if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Writing Quadratic Equations

Flashcard

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7A, HSA-REI.B.4B, HSA-SSE.B.3B

Standards-aligned

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FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

FLASHCARD QUESTION

Front

What is the factored form of a quadratic equation?

Back

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