2 с
4.
The quadratic function f is defined by f(x) = 3x2 - 12x + 11.
(a) Write f in the form f(x) = 3(x - h)2 – k.
(b) The graph of fis translated 3 units in the positive x-direction and 5 unites in the positive y-
direction. Find the function g for the translated graph, giving your answer in the form
g(x) = 3(x − p)2 + q.

answer: 1 and 3

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.