Basics of Quadratic Functions

Which description best describes the behavior of "c" in the quadratic equation y=ax²+bx+c?

• The parabola is shifted in a vertical motion. If "c" is positive, the graph goes up, if "c" is negative, the graph goes down.

• The parabola is shifted in a vertical motion. If "c" is positive, the graph goes down, if "c" is negative, the graph goes up.

• The parabola is shifted in a vertical motion. If "c" is positive, the graph goes up, if "c" is negative, the graph goes up tpp.

• The parabola is shifted in a vertical motion. If "c" is positive, the graph goes up, if "c" is negative, the graph goes down. If "c" is 0, then the graph moves horizontally instead.

Which description best describes the vertex?

• The vertex represents the slope of the graph. It is the reason why we have y=mx+b.

• The vertex represents the point in which the parabola changes direction.

• The vertex represents the point in which the parabola does not change direction.

• The vertex represents the x-intercept roots, where we use a formula called x = -b/2a to solve for.

Which description best describes axis of symmetry?

• The line that cuts the parabola exactly in two symmetrical halves. It follows the y-value of the vertex.

• The line that cuts the parabola exactly in two symmetrical halves. It follows the x-value of the vertex.

• The line that cuts the parabola exactly in two symmetrical halves. It follows the x-value roots of the vertex.

• The line that cuts the parabola exactly in two symmetrical halves. It follows the y-value roots of the vertex.

Which of the following best represents a, b, and c from the equation "y = -3x² + 17x"?

• a = -3, b = 17, c = 0

• a = -3x², b = 17x, c = 0

• a = -3, b = 17, c = y

• a = -3, b = 17, c = x

Which description best describes the behavior of "b" in the quadratic equation y=ax²+bx+c?

• When b is positive, the parabola tends to lean to the left, and is farther away from the y-axis as b continues to grow bigger.

• When b is positive, the parabola tends to lean to the left, farther away from the y-axis as b continues to decrease smaller to 0.

• When b is positive, the parabola tends to lean to the right, farther away from the y-axis as b continues to grow bigger.

• When b is positive, the parabola tends to lean to the right, farther away from the y-axis as b continues to decrease smaller to 0.

Which best describes the equation of the parabola "y = 100x² + 5" ?

• The parabola goes up 5 on the y-axis and is narrow because of the 100.

• The parabola goes down 5 on the y-axis and is wide because of the 100.

• The parabola goes up 5 on the y-axis and is wide because of the 100.

• The parabola goes down 5 on the y-axis and is narrow because of the 100.

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CCSS.HSF-IF.C.7A

Which of the following best represents a, b, and c from the equation"y = 7 + 6x²+100x"?

• a = 7, b = 6, c = 100

• a = 6, b = 100, c = 7

• a = 7, b = 6x², c = 100x

• a = 6, b = 100x², c = 7x

What is the degree of the following function? y = 25 - x²

Which standard form function matches the factored form:
y = (x + 1)(x - 3)

• y = x² + x - 3

• y = x - 2

• y = x² - 2x - 2

• y = x² - 2x - 3

Which of the following helps determine end behavior?

• The leading term

• The number of terms in the function

• The y-intercept

• The x-intercepts