Determine the axis of symmetry for the function f(x) = −4(x + 7)2 − 3.
1 answer:
Answer:
x = -7
Step-by-step explanation:
The vertex form of this equation tells us it is a downward-opening parabola with its vertex at (-7, -3). The line of symmetry is the vertical line through the vertex: x = -7.
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Vertex form is ...
y = a(x -h) +k
where a is the vertical expansion factor, and (h, k) is the vertex. When a < 0, the parabola opens downward. When a > 0, it opens upward. (When a=0, the "parabola" is a horizontal line at y=k.)
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Answer:
From given relation the value of β is 37.5°
Step-by-step explanation:
Given as :
α and β are two acute angles of right triangle
Acute angle have measure less than 90°
Now given as :
=
Or, =
SO, =
Or, 90° = +
or, 90° = + 4x
Or, 90° =
So, x = = 15°
∴ =
So, = sin
∴ The value of Ф_1 = = 37.5°
Similarly =
So ,The value of Ф_2 = = 52.5°
∵ β α
So, As 37.5°52.5°
∴ β = 37.5°
Hence From given relation the value of β is 37.5° Answer