What is the formula for finding the y-intercept of a quadratic function in vertex form?

Set $$x=0$$ in the equation $$y=a(x-h)^2+k$$ .

What does it mean to reflect a function over the x-axis?

To reflect a function over the x-axis, multiply the output by -1: $$g(x)=-f(x)$$ .

What is the effect of a vertical stretch on a function?

A vertical stretch by a factor of k multiplies the output by k: $$g(x)=kf(x)$$ .

How do you determine the inverse of a matrix?

Use the formula $$A^{-1} = \frac{1}{det(A)} adj(A)$$ , where det(A) is the determinant and adj(A) is the adjugate.

What is the significance of the determinant of a matrix?

The determinant indicates whether a matrix is invertible; if det(A) = 0, the matrix is not invertible.

What is the general form of a linear equation?

The general form is $$Ax + By + C = 0$$ , where A, B, and C are constants.

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.

What is the relationship between the slopes of parallel lines?

Parallel lines have the same slope.

Midterm Practice #2 ORCA Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Solve the system given: 3x - y = 7, 2x + y = 3

Back

(2,-1)

2.

FLASHCARD QUESTION

Front

Back

(0,-4)

3.

FLASHCARD QUESTION

Front

What type of system is being described by the graph?

Back

Dependent

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the definition of a consistent system of equations?

Back

A system of equations that has at least one solution.

6.

FLASHCARD QUESTION

Front

What is the definition of an inconsistent system of equations?

Back

A system of equations that has no solutions.

7.

FLASHCARD QUESTION

Front

What is the definition of a dependent system of equations?

Back

A system of equations that has infinitely many solutions.

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