The graph of the function g(x) has the same shape and direction of opening as the graph of f(x) = 3(x-2)^2 +9. The graph of g(X) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x). 

a. Determine an equation of the function g(x) 

b. State the domain and range of g(x) 

Domain:

Range:

c. Write another function h(x) with the same vertex and shape, but whose graph opens in the opposite direction.

Y=(X-2)(x-s) for s=-4

Describe how the graph sketch on the previous page would be different if 

i. s=3

ii. s=0

The graph of a quadratic function has X-intercepts at X=3 and X=-5. It passes through the point (1,-12). Determine the equation of the quadratic function 

^{y=(X-2)(X-s) for s=-4}

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Match each structure from the female reproductive system to its description: 1. Primary oocyte. 2. Follicle. 3. corpus leuteum. 4. ovary.

Found inside follicles: AnswerBecomes corpus luteum after ovulation: AnswerAll the other structures listed are found inside this structure: AnswerAppears about halfway through a menstrual cycle: Answer 

Match each structure from the female reproductive system to its description

Found inside follicles: AnswerBecomes corpus luteum after ovulation: AnswerAll the other structures listed are found inside this structure: AnswerAppears about halfway through a menstrual cycle: Answer 

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 The simplified factored form of 8(x+3)^2-6(x+3)-5 isA. (4x+17)(2x+5)

B. (4x+7)(2x+5)

C. (4x+5)(2x+7)

D. (4x-5)(2x+1)

A quadratic function has zeros at - 2/3 and 6.  The graph of the function passes through the point (1, –12.5).  What is the equation of the function, in standard form?A. f(x)= x^2+9/2x+9 

B. f(x)= x^2-9/2x-9 

C. f(x)= 2x^2+9x+18D. f(x)= 2x^2-9x-18 

a rubber ball is thrown upwards with an initial speed of 20m/s. The approximate height o the ball of t seconds is h(t)= 20t-4.9t². Determine the time period, to the nearest hundredth of a second, during which the ball is higher than 8 m.