Using translation concepts, compared to the graph of the base function g(x) = x², the function f(x) was:
- Vertically stretched by a factor of 4.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the base function g(x) = x² was:
- Multiplied by 4, that is, vertically stretched by a factor of 4.
- Shifted left 9 units, as x -> x + 9.
More can be learned about translation concepts at brainly.com/question/4521517
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Combine the two equations so that it’s 2x+5=4x-1 and then subtract 2x from both sides. now it’s 5=4x-1 and add 1 to both sides. now is 6=4x 6 divided by 4 is 1.5 so that is the x value. now sub 1.5 as the x value into the first equation so it’s y=2(1.5)+5. you do the math and it’s y=8 (because 1.5 times 2 is 3 and 3+5 is 8) then your point is (1.5,8)
Answer:
f-1(x) = (x-8)/2
Step-by-step explanation:
f(x) = 2x+ 8
y = 2x + 8
replacing y and x
x = 2y + 8
2y = x- 8
y =( x-8)/2
f-1 (x) =( x-8)/2
Answer:
∠AOB = 139°
Step-by-step explanation:
The 2 angles form a straight angle and sum to 180°, that is
∠AOB + ∠BOC = 180 ← substitute values
8x + 51 + 6x - 25 = 180, that is
14x + 26 = 180 ( subtract 26 from both sides )
14x = 154 ( divide both sides by 14 )
x = 11
Hence
∠AOB = 8x + 51 = (8 × 11) + 51 = 88 + 51 = 139°
