What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 1/6x2 - 9?
1 answer:
Using shifting concepts, it is found that the correct option is:
B. The graph of f(x) is vertically compressed by a factor of 6 and shifted 9 units down.
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- The parent function is
.
- The first transformation is a multiplication by 1/6. Multiplying by 1/a is the same as vertically compressing by a factor of a, thus, it was vertically compressed by a factor of 6.
- Then, 9 was subtracted. When a is subtracted from the function, it means that it was shifted down a units, thus, it was shifted down 9 units, and the correct option is B.
A similar problem is given at brainly.com/question/24465194
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Answer:
Step-by-step explanation:
9) PQR Is an isosceles triangle
=> ∠PRQ = (180° - x)/2
PRS is an isosceles right triangle
=> ∠PRS = 45°
Have: ∠PRS + ∠PRQ = 115°
=>
=> 180 - x = (115 - 45).2 = 140
<=> x = 180 - 140 = 40
10) ABD is an isosceles right triangle => ∠ABD = 45°
BCD is an equilateral triangle => ∠CBD = 60°
have: x = ∠ABD + ∠CBD = 45° + 60° = 105°
11) have: x = y (2)
PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40
QTS is an isosceles triangle => ∠TQS = 180 -2x
QRS is an isosceles triangle => ∠RSQ = y
have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)
(1)(2) =>
=> x + y = 80
12) EFJ Is an equilateral triangle => ∠FJE = 60
∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle
=> 60 = 2.∠JHF => ∠JHF = 30°
∠JHF is the outer angle of the triangle FHG
=> 30° = 2x
<=> x = 15°