What is the vertex of a quadratic function?

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$y = ax^2 + bx + c$$ .

What is the axis of symmetry in a quadratic graph?

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula $$x = -\frac{b}{2a}$$ .

What does it mean if a quadratic equation has no real solutions?

If a quadratic equation has no real solutions, it means the graph does not intersect the x-axis, which occurs when the discriminant $$b^2 - 4ac

What is the discriminant of a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$b^2 - 4ac$$ , which determines the nature of the roots.

How do you complete the square for the equation $$x^2 + 6x + 5 = 0$$ ?

Rearranging gives $$(x + 3)^2 - 4 = 0$$ , leading to the solutions $$x = -1, x = -5$$ .

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

The leading coefficient (the coefficient of $$x^2$$ ) determines the direction of the parabola: if positive, it opens upwards; if negative, it opens downwards.

solving quadratics by factoring 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 does it mean to factor a quadratic expression?

Back

3.

FLASHCARD QUESTION

Front

What is the Zero-Product Property?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

How do you find the zeros of a quadratic function?

Back

Tags

CCSS.HSF-IF.C.7C

5.

FLASHCARD QUESTION

Front

What are the x-intercepts of a quadratic graph?

Back

The x-intercepts of a quadratic graph are the points where the graph intersects the x-axis, corresponding to the zeros of the quadratic equation.

Tags

CCSS.HSF-IF.C.7A

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

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