Given the parent functions f(x) = x, the function g(x) = -(x + 7)2 - 8 is
the result of shifts in the graph of Ax).
a. Describe the shift that takes fy) to g(x)
b. State the vertex of f(x)
c. State the axis of symmetry of g(x)

Step-by-step explanation:

Parent function f(x) = x²

a. Parent function f(x) when inverted about x- axis it becomes,

f'(x) = -x²

further f'(x) when shifted left by 7 units,

f"(x) = -(x + 7)²

followed by a shift of 8 units downwards forms,

g(x) = -(x + 7)² - 8

b. When we compare the function with vertex form of the quadratic function h(x) = -(x - h)² + k

Vertex of the transformed function g(x) will be (-7, -8)

c. Axis of symmetry of the function g(x) will be x = -7.

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

at home andrea has 1 2/3 kilograms of rice

step-by-step explanation: