Convert $$x^2 - 6x + 9$$ to factored form and identify the solution.

Factored form: $$(x - 3)(x - 3)$$ ; solution: $$x = 3$$ .

What are the zeros of the function $$f(x) = x^2 - 4$$ ?

The zeros are $$x = 2$$ and $$x = -2$$ .

Find the zeros of the quadratic $$x^2 + 3x - 4 = 0$$ .

The zeros are $$x = 1$$ and $$x = -4$$ .

What is the vertex of a quadratic function?

The vertex is the highest or lowest point of the parabola represented by the quadratic function, found at $$x = -\frac{b}{2a}$$ .

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 images, given by $$x = -\frac{b}{2a}$$ .

What is the standard form of a quadratic function?

The standard form is $$f(x) = ax^2 + bx + c$$ .

What is the vertex form of a quadratic function?

The vertex form is $$f(x) = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

How do you determine if a quadratic opens upwards or downwards?

A quadratic opens upwards if $$a > 0$$ and downwards if $$a

Quadratic Solving Skills Flashcard Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What are the solutions of a quadratic equation called?

Back

The solutions of a quadratic equation are called the 'roots' or 'zeros' of the equation.

3.

FLASHCARD QUESTION

Front

How do you find the roots of a quadratic equation using factoring?

Back

4.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

5.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation tell us?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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