What is the relationship between the graphs of $$f(x) = x$$ and $$g(x) = f(x) + 3$$ ?

The graph of $$f$$ is shifted 3 units up to create the graph of $$g$$ .

How do you simplify $$\sqrt{147}$$ ?

$$\sqrt{147} = \sqrt{49 \cdot 3} = 7\sqrt{3}$$ .

What does it mean for two lines to be perpendicular?

Two lines are perpendicular if the product of their slopes is -1.

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

The distance formula is $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ .

What is a quadratic function?

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

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

If $$a > 0$$ , it opens upwards; if $$a

What is the vertex of a parabola represented by a quadratic function?

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

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.

How can you tell if a system of equations has infinitely many solutions?

If the equations represent the same line, they have infinitely many solutions.

Algebra EOC Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

Front

What does it mean for a system of equations to have no solution?

Back

The graphs of the equations are parallel and never intersect.

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