How do you find the vertex of a parabola given in standard form?

The vertex can be found using the formula $$h = -\frac{b}{2a}$$ and then substituting h back into the equation to find k.

What is the significance of the discriminant in a quadratic equation?

The discriminant, given by $$D = b^2 - 4ac$$ , determines the nature of the roots: if D > 0, there are two real roots; if D = 0, there is one real root; if D

What is a linear equation?

A linear equation is an equation of the first degree, meaning it can be written in the form $$y = mx + b$$ where m is the slope and b is the y-intercept.

What is the slope-intercept form of a linear equation?

The slope-intercept form is $$y = mx + b$$ where m is the slope and b is the y-intercept.

How do you graph a quadratic function?

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

What is the axis of symmetry in a parabola?

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.

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

The roots of a quadratic equation are the x-intercepts of its graph, where the parabola intersects the x-axis.

What is a system of equations?

A system of equations is a set of two or more equations with the same variables, which can be solved simultaneously.

A2 3.5 Flashcardizz Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Substitution Method in solving systems of equations?

Back

The Substitution Method involves solving one equation for one variable and substituting that expression into the other equation to find the values of both variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

FLASHCARD QUESTION

Front

Back

The solution is (-3, -6) and (1, 2).

Tags

CCSS.HSA.REI.C.7

3.

FLASHCARD QUESTION

Front

Back

The solution is (-3, -1) and (-1, 3).

Tags

CCSS.HSA.REI.C.7

4.

FLASHCARD QUESTION

Front

What does it mean if a system of equations is inconsistent?

Back

An inconsistent system has no solutions, meaning the lines represented by the equations do not intersect.

Tags

CCSS.8.EE.C.8B

5.

FLASHCARD QUESTION

Front

Back

The solution is (2, 1).

Tags

CCSS.HSA.REI.C.7

6.

FLASHCARD QUESTION

Front

What is the general form of a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

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