Consider the given function, g(x) = 2x²–4x+2. (a) State whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s).

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Find the x-intercepts of the function f(x)=-3(x+2)^2+75 Leftmost intercept x= Rightmost intercept…

A: Solution:- Given fx=-3x+22+75             for x-intercepts fx=0             ⇒fx=0…

Q: company models it’s net income, in thousands of dollars, with the function f(x) = 9x^2-54-144, where…

A: Given query is to find the value of x where f(x) is zero.

Q: Given the function: f(x)=4x^2-9x, evaluate/simplify the following: f(x+h)-f(x)/h

A: Given function f(x)=4x2-9x To Evaluate f(x+h)-f(x)h

Q: Find all x-intercepts of the function.

A:

Q: The United States wine consumption can be modeled by the function f(x)=0.004x^2-0.094x+2.607 where x…

A: The function is fx=0.004x2-0.094x+2.607.   Substitute 25 for x in the above function.…

Q: A person standing on a bridge over a river throws a stone such that the height H (in feet) above the…

A: We can find out the solution by following method.

Q: Billy is on the roof of a building and drops a tennis ball off the side. The ball follows a path…

A: Here we have to find out how far away from the building the ball landed, we need to determine the…

Q: Find and simplify  f(a+h)-f(a)/h , (h does not equal 0) for the following function…

A:

Q: The population of a city can be modeled using the function P(x)=-35x^2+450x+250 where x represent…

A: