Answer:
Vertex: (1,-1)
Symmetry: x = 1
Step-by-step explanation:
y = 4x² - 8x + 3
y = 4(x² - 2x) + 3
y = 4[x² - 2(x)(1) + 1² - 1²] + 3
y = 4(x - 1)² - 1
In y = a(x - h)² + k,
(h,k) is the vertex
And a vertical line passing through the vertex is the line of symmetry, i.e x = h.
Vertex: (1,-1)
Symmetry: x = 1
IV is the most useful (even though all will work)
To find the y-intercept, take x=0 and substitute it into the equations.
We can see that if x=0, you can very easily observe that option IV reduces to
y = 0 + 0 - 24 = -24.
Hence (0,-24) is the y-intercept
Never
perfect squre trinomial is in form
(a+b)(a+b) or (a-b)(a-b)
that is not equal to (a+b)(a-b)
never
Here the base angle given is 51°.
The side opposite to 51° is y
The hypotenuse is given as 12.
The trigonometric ratio associating opposite & hypotenuse is sin
We know sin = Opposite/ Hypotenuse
Substituting the values of angle , opposite & hypotenuse
We have
y/12 = sin 51°
Multiplying both sides by 12 we get
y=12 × sin 51°
y = 9.326
Rounding to the nearest hundredths we get
y = 9.33
Tan A = 2.1445
A = tan^(-1) 2.1445 = 64.999 ≈ 65°
In a right triangle:
A + B = 90°
65° + B = 90°
B = 90° - 65° = 25°
Answer:
A ) 25°
