ALGEBRA 1-REPORTING CATEGORY 4

Which graph best represents a quadratic function with a range of all real numbers greater than or equal to 3?

• Graph F

• Graph G

• Graph H

• Graph J

Which graph best represents part of a quadratic function with a domain of all real numbers less than -4?

• Graph A

• Graph B

• Graph C

• Graph D

The solutions to p(x) = 0 are x = -7 and x = 7. Which quadratic function could represent p? Note: Graph the answer choices and find the x-intercepts and match them from the given solutions.

• p(x) = x^2 - 49

• p(x) = x^2 + 49

• p(x) = x^2 - 14

• p(x) = x^2 + 14

Which answer choice best represents the intercepts of the graph of r?

• x-intercept: (5, 0) y-intercepts: (0, 10) and (0, –2)

• x-intercepts: (0, –10) and (0, 2) y-intercept: (–5, 0)

• x-intercept: (0, 5) y-intercepts: (10, 0) and (–2, 0)

• x-intercepts: (–1, 0) and (2, 0) y-intercept: (0, –5)

Which graph best represents ( h(x) = (x + 1)(x - 3) )? Graph the given factor form into the calculator and choose the best answer. Look at factor form and determine the two solutions (x-intercepts) and determine which graph goes through those points.

• Graph F

• Graph H

• Graph G

• Graph J

Given f(x) = x^2 - 36, which statement is true? Graph the expression and graph the answer choices. Analyze the graphs to see which one makes an exact match.

• The only zero, 6, can be found when 0 = (x - 6)(x - 6).

• The only zero, 18, can be found when 0 = (x - 18)(x - 18).

• The zeros, -6 and 6, can be found when 0 = (x + 6)(x - 6).

• The zeros, -18 and 18, can be found when 0 = (x + 18)(x - 18).

Which answer choice describes how the graph of f(x) = x² was transformed to create the graph of n(x) = x² − 1?

• A vertical shift up

• A horizontal shift to the left

• A vertical shift down

• A horizontal shift to the right

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q. Which function best represents the graph of q?

• q(x) = -(x - 2)²

• q(x) = -(x + 2)²

• q(x) = -x² - 2

• q(x) = -x² + 2

Which value of x is the solution to this equation? 5x² = 30x - 45. Note: set the expression as equal to zero, then you graph to find the solutions. Note: x-intercept related words (roots, solutions, zeros).

• x = 3

• x = -3

• x = 5

• x = -5

What is the positive solution to x^2 + 9x - 22 = 0? Record your answer and fill in the bubbles on your answer document. Note: graph the given quadratic expression and find the positive solution. Note: x-intercept related words (roots, solutions, zeros).

• 11

• 2

• 3

• 9