D. drawing a vertical line x = 3 cuts the figure in symmetrical shape therefore equation for line of symmetry should be
x =3
The inverse of a function is the reflection of it across the line y=x. If (2, 8) is on the graph of g(x), then (8, 2) is on the graph of its inverse. If the slope of g(2) is 5, then the slope of (g^-1)(8) is 1/5, the reciprocal of g'(2).
... (g^-1)(8) = 1/5
Answer:
Step-by-step explanation:
In the given triangle
With reference angle A
perpendicular (P) = 3
hypotenuse (h) = 5
So sin A = p/h = 3/5
and
With reference angle C
perpendicular (p)= 4
hypotenuse (h) = 5
Sin C = p/h = 4/5
hope it helps :)
Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
y = 2(x + 3.5)² - 24.5 + 25
y = 2(x + 3.5)² + 0.5

Therefore, Option (2) will be the vertex form.