What is the graph of $$y = x^2$$ ?

The graph of $$y = x^2$$ is a parabola that opens upwards with its vertex at the origin (0,0).

What is the equation of the absolute value function shifted up by 4 units?

The equation is $$f(x) = |x| + 4$$ .

What is a y-intercept shown on a graph?

The y-intercept shown on a graph is the point where the graph crosses the y-axis, for example, (0, -2).

What is an x-intercept?

An x-intercept is the point where a graph intersects the x-axis, represented as (x, 0).

Identify the graph with a x-intercept of 3 and a y-intercept of -1.

The graph must pass through the points (3, 0) and (0, -1).

What is the significance of the slope in a linear equation?

The slope indicates the steepness of the line and the direction it moves; a positive slope rises, while a negative slope falls.

What does the equation $$y = \frac{1}{2}x + 3$$ represent?

This represents a linear function with a slope of $$\frac{1}{2}$$ and a y-intercept of 3.

How do you find the y-intercept from an equation?

To find the y-intercept, set x = 0 in the equation and solve for y.

What is the general form of a quadratic equation?

The general form of a quadratic equation is $$ax^2 + bx + c = 0$$ , where a, b, and c are constants.

Midterm Review F.4 Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph intersects the y-axis. It is represented as (0, y).

2.

FLASHCARD QUESTION

Front

Which ordered pair represents a y-intercept?

Back

(0, 4) is a y-intercept because the x-coordinate is 0.

3.

FLASHCARD QUESTION

Front

What is the equation of a linear function?

Back

4.

FLASHCARD QUESTION

Front

Back

This represents a linear function with a slope of 1 and a y-intercept of 0.

5.

FLASHCARD QUESTION

Front

What is the equation of a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the absolute value function?

Back

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