Answer:
Option (D)
Step-by-step explanation:
If a function f(x) is represented on a graph and we follow the transformation as,
f(x) → 
1). If k ≥ 1, graph of the parent function f(x) will be stretched vertically by a factor k.
That means the transformed graph will be narrower.
2). If 0 < k < 1, graph will be vertically compressed or the transformed function will show a wider graph.
Following this rule,
f(x) → 
shows k = 
[Since 0 < < 1]
Therefore, transformed form will be wider.
Option (D) will be the answer.
Answer:
(
f
∘
g
)
(
x
)
=
5
x
(
g
∘
f
)
(
x
)
=
5
x
+
16
5
hjvftvubgyhujkh
Step-by-step explanation:
Area of a triangle is 1/2 x base x height.
The graphed triangle has height of 2 and base of 2.
Area = /2 x 2 x 2 = 2 square units.
The triangle gets enlarged by a scale factor of 2, so the new height would be 2 x 2 = 4 and the new base would be 2 x 2 = 4
Area of enlarged triangle = 1/2 x 4 x 4 = 8 square units.
The answer is C) 8
Answer:
- 10.2n - 1
Step-by-step explanation:
You need to add the expressions:
- 2.4n - 3 + (- 7.8n +2)
- 2.4n - 3 - 7.8n + 2
- 10.2n -1
Given that
∠ABC and ∠CBD are complementary
Sum of complementary angle = 90°
⇒ m∠ABC + m∠CBD = 90°
⇒ 25° + m∠CBD = 90° [ Given that m∠ABC = 25°]
⇒ m∠CBD = 90° - 25°
⇒ m∠CBD = 65°
Hence proved
