Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (1,-7) and has (2,- 4) as its vertex. what is the standard form of the equation? a. the vertex form of the equation is f(x) = -3(x + 2)2 - 4. the standard form of the equation is f(x) = 3x2 + 12x − 8. b. the vertex form of the equation is f(x) = 3(x + 2)2 + 4. the standard form of the equation is f(x) = 3x2 − 12x −16. c. the vertex form of the equation is f(x) = −3(x - 2)2 −4. the standard form of the equation is f(x) = −3x2 + 12x − 16. d. the vertex form of the equation is f(x) = 3(x + 2)2− 4. the standard form of the equation is f(x) = 3x2 − 12x + 8.

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Is appreciated! graph the functions and approximate an x-value in which the exponential function surpasses the polynomial function. f(x) = 4^xg(x) = 4x^2options: x = -1x = 0x = 1x = 2

Ab based on the given diagram, if m_1 = 60° then m 2 = 30 60 90 180