Answer:
Step-by-step explanation:
The parent function here is y = x^2, whose graph is that of a parabola that opens up and has its vertex at the origin, (0, 0).
Translating this parent graph 3 units to the right and then up by 2 units will produce the desired graph of y = f(x) = (x - 3)^2 + 2.
There are no stretches or symmetry.
y-intercept: let x = 0 and find y: 9 + 2 = 11. y-intercept is (0, 11).
x-intercept: let y = 0 and find x: (x - 3)^2 + 2 = 0 => (x - 3)^2 = -2. This has no real roots. Thus, there are no x-intercepts.
Answer:
40 m
Step-by-step explanation:
First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.
Step-by-step explanation:
g(f(-6)) = g( 4(-6)+3) =g(-21) = -21-2 =-23
Answer:
desmos
Step-by-step explanation:
look up desmos. its a grphing calculator and it gives u all the awnsers. welcome bro
Since AB = CD the trapezoid is isosceles, which means that ∡A = ∡D
Therefore also ∡2 = ∡3 (they are half of the congruent angles)
For the properties of parallel lines (BD and AD) crossed by a transversal (BD) we have ∡3 = ∡CBD.
Now consider triangles AOD and BCD:
∡OAD (2) = ∡ADO (3) = ∡CBD (3) = ∡CDB (4)
T<span>he sum of the angles of a triangle must be 180°, t</span>herefore:
∡AOD = 180 - ∡2 - ∡3
∡BCD = 180 - ∡3 - ∡4
∡AOD = ∡BCD because their measure is the difference of congruent angles.
