algebra 2a - unit 2: exam

the combined area of the pool and deck will be 270 square feet. which equation represents the combined area of the pool and the deck?

(9 + 2w)(12 + 2w) = 270

what are the coordinates of the vertex of the following function? f(x) = x^2 − 18x + 88

(9, 7)

examine the graph. https://assets.learnosity.com/organisations/625/asset/media/1236067 which expressions are factors of the function represented in the graph? select all that apply.

(x - 1) (x + 4)

how long does it take the marshmallow to hit the ground, where h = 0?

2 seconds

which measures are possible widths for max's garden?

9 feet, 8 feet, 2 feet

examine the following description of a function. f(x) = (x + 12)^2 + 9, where −∞ < x < ∞ which expression correctly describes the range?

9 ≤ f(x) < ∞

which statement correctly describes the end behavior of the function f(x) = −x^2 + 3x + 12?

as x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches −∞.

which statement is true about the end behavior of the function represented by the graph? https://assets.learnosity.com/organisations/625/asset/media/1236070

as x approaches −∞, f(x) approaches ∞, and as x approaches ∞, f(x) approaches ∞.

examine the graph. what is the domain and range of the function represented by the graph?

domain: (−∞, ∞) range: [5, ∞)

examine the following graph. which function rule correctly describes the function represented in the graph?

f(x) = (x + 3)(x - 1)

which equation represents the height of the rubber band during the seconds after it is shot?

h = −16t^2 + 26.4t + 15

which answer correctly explains the domain and range of the given situation?

the domain is 0 to 6.1 seconds, and the range is 0 to 24.76 feet.

examine the table, which contains some points of a quadratic function. which statements are true about the function?

the function has a minimum. a reasonable estimate of the minimum is −7.25.

examine the table, which contains some points of a quadratic function. which statements are true about the intercepts of the function? select all that apply.

the function has an x-intercept of (1, 0) the function has an x-intercept of (−2, 0) the function has a y-intercept of (0, −2)

what are the x- and y-intercepts of the function f(x) = x^2 − 9x − 36?

the point (12, 0) is an x-intercept of the function. the point (0, -36) is a y-intercept of the function. the point (-3, 0) is an x-intercept of the function

the graph represents emily shooting an arrow upward with a bow. match each question with the value that correctly answers the question.

what is the maximum height reached by the arrow? 90.69 feet after how many seconds does the arrow reach that height? 2.34 seconds at what height is the arrow shot? 2.8 feet how many seconds after shooting did the arrow land? 4.73 seconds

match each question with the value that correctly answers the question.

what is the maximum height reached by the rocket? 24.76 feet after how many seconds does the rocket reach that height? 2.55 seconds at what height is the rocket launched? 12 feet how many seconds after launching did the rocket land? 6.1 seconds

examine the table, which contains some points of a quadratic function. which graph represents the same function?

https://assets.learnosity.com/organisations/625/asset/media/1236411

which graph matches the following description? - the function is increasing over the interval (−∞, 1) and decreasing over the interval (1, ∞). - the function has a maximum of 3. - the function has a y-intercept of (0, 2)

https://assets.learnosity.com/organisations/625/asset/media/1236415

which graph represents the same function as the following rule? f(x) = x^2 − 4x − 5

https://assets.learnosity.com/organisations/625/asset/media/1236580

which graph has the most appropriate labels and scales to graph the equation?

https://assets.learnosity.com/organisations/625/asset/media/1236892

which statement is true about the function represented by the graph?

the function has a minimum of -16