How does the width of a parabola change with the equation $$y = ax^2$$ ?

If $$|a| > 1$$ , the parabola is narrower; if $$|a|

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

The vertex can be found at $$x = -\frac{b}{2a}$$ .

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 determine if two lines are parallel?

Two lines are parallel if they have the same slope.

What is the formula for the slope between two points (x1, y1) and (x2, y2)?

The slope is given by $$m = \frac{y2 - y1}{x2 - x1}$$ .

What does it mean for a function to be quadratic?

A quadratic function is a polynomial function of degree 2, typically in the form $$y = ax^2 + bx + c$$ .

What is the axis of symmetry for a parabola?

The axis of symmetry is the vertical line that passes through the vertex, given by $$x = -\frac{b}{2a}$$ .

How do you solve a quadratic equation by factoring?

To solve by factoring, express the equation in the form $$(x - p)(x - q) = 0$$ and set each factor to zero.

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented by $$b$$ in the slope-intercept form.

S1 Get Well Algebra 2 Flashcards

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

What are the equations of the lines in the system?

Back

3.

FLASHCARD QUESTION

Front

How do you find the slope of a line?

Back

The slope is calculated as the change in y over the change in x (rise/run).

4.

FLASHCARD QUESTION

Front

Simplify the expression: 5x + 3y + 5 + 4x + 3y + y + 8.

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation tell us?

Back

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