algebra 2a - unit 6: exam

the pythagorean theorem can be used to find the missing side length of a triangle when two other side lengths are known. a: 20 b: ? c: 29 what is the value of b?

21

the function f(x) = (2)√x+3 - 1 is dilate to become f'(x) = -(2)√1/4x+3 + 1. which statement describes the transformation?

XXX the function is reflected over the y-axis and is stretched away from the x-axis by a factor of 1/4

examine the graph of function f(x). https://assets.learnosity.com/organisations/625/asset/media/1237276 which function rule represents f(x)?

XXX √x - 2

the function g(x) is a dilation of f(x). https://assets.learnosity.com/organisations/625/asset/media/1237416 which equation gives the correct information according to the transformation from f(x) to g(x)?

b = 3

what is the transformation rule for g(x)? https://assets.learnosity.com/organisations/625/asset/media/1237417

g(x) = -1/3f(x)

what is the function rule for g(x)?

g(x) = -1/3√x-2 - 4/3

which graph represents the function that has the rule f(x) = (3)√x-6 + 2.

https://assets.learnosity.com/organisations/625/asset/media/1237272

use translations of the parent function to determine which graph represents g(x) = (3)√x-4 + 5.

https://assets.learnosity.com/organisations/625/asset/media/1237397

which graph represents f(x) and g(x) = -(2)√-2x-3 + 4?

https://assets.learnosity.com/organisations/625/asset/media/1237407

which graph represents f(x) and g(x) = -1/2(3)√x+2 + 5/2?

https://assets.learnosity.com/organisations/625/asset/media/1237412

use translations of the parent function to determine which graph represents g(x) = (3)√x+1 + 3.

https://assets.learnosity.com/organisations/625/b70cbc00-2640-4a93-919a-a883b6e282e4.png

when solved correctly, the equation √-2x-5 = x + 4 has solutions of x = −7 and x = −3 which, if any, of the solutions are extraneous?

only x = -7 is extraneous

a farmer is looking into buying more land for his crops. which statements are true according to the graph? select all that apply.

the domain is (0, ∞) all values of the graph are positive because neither length nor area can be negative. a piece of land that has an area of 800 acres has a side length of about 2,000 yards.

consider the radical equation g(x) = (2)√x-6 + 2. which statements about g(x) are true?

the function has a minimum of 2 the domain of the function is [6, ∞), and the range is [2, ∞) the function begins at point (6, 2), and as x approaches infinity, f(x) approaches infinity.

examine the graph of f(x). https://assets.learnosity.com/organisations/625/asset/media/1237271 which statements about f(x) are true?

the function has no maximum, but has a minimum of -7 the function has an x-intercept of (45, 0) and a y-intercept of (0, −5) the domain of the function is [−4, ∞), and the range of the function is [−7, ∞) the function starts from point (−4, −7), and as x approaches infinity, f(x) approaches infinity.

the function f(x) = (3)√x+7 + 5 is translated to become f'(x) = (3)√x+3 + 5. which statement describes the transformation?

the function moves 4 units to the right.

what is the value of x in the equation? √10x-21 = x

x = 7 and x = 3