Quadratic Functions and Transformations

Mr. Kim reviews the NJ GPA test, focusing on geometry, rational and irrational numbers, quadratic equations, graph analysis, dilation, similarity, graph equations, parallel line construction, and transformations. He provides explanations and examples to help students understand these mathematical concepts.

What is the main purpose of the NJ GPA test video?

• To review the NJ GPA test with students.

• To provide a history of the NJ GPA test.

• To discuss the importance of education.

• To introduce new mathematical concepts.

Which of the following is a zero of the function x^2 - 2x - 8?

• x = -2

• x = 2

• x = -4

• x = 4

What distinguishes a rational number from an irrational number?

• Irrational numbers are always negative.

• Rational numbers can be expressed as fractions.

• Irrational numbers are whole numbers.

• Rational numbers have infinite decimals.

If one zero of a quadratic equation is irrational, what can be said about the other zero?

• It must be rational.

• It must be irrational.

• It must be zero.

• It must be a whole number.

Which factorization reveals the zeros of the function 3x^2 - 11x + 15?

• (3x - 5)(x - 3)

• (3x + 3)(x - 5)

• (3x + 5)(x - 3)

• (3x - 3)(x + 5)

What is the equivalent expression for 3x^5 + 8x^3 - 6x^3 - 7x^2?

• 3x^5 + 2x^3 - 7x^2

• 3x^5 + 14x^3 + 7x^2

• 3x^5 - 14x^3 - 7x^2

• 3x^5 + 14x^3 - 7x^2

In similar triangles, what does the tangent of an angle represent?

• The ratio of the opposite side to the adjacent side.

• The ratio of the hypotenuse to the opposite side.

• The sum of the opposite and adjacent sides.

• The ratio of the adjacent side to the hypotenuse.

When analyzing a graph, what indicates that a function is increasing?

• The graph remains constant.

• The graph moves downward from left to right.

• The graph moves upward from left to right.

• The graph forms a horizontal line.

On a graph, when is a function considered negative?

• When it is below the x-axis.

• When it is above the x-axis.

• When it is on the x-axis.

• When it is on the y-axis.

What is a dilation in geometry?

• A transformation that rotates a figure.

• A transformation that enlarges or reduces a figure.

• A transformation that slides a figure.

• A transformation that flips a figure.