Answer:
Vertex form: f(x) = -10(x − 2)^2 + 3
Standard form: y = -10x^2 + 40x - 37
Step-by-step explanation:
h and k are the vertex coordinates
Substitute them in the vertex form equation:
f(x) = a(x − 2)^2 + 3
Calculate "a" by replacing "f(x)" with -7 and "x" with 1:
-7 = a(1 − 2)^2 + 3
Simplify:
-7 = a(1 − 2)^2 + 3
-7 = a(-1)^2 + 3
-7 = a + 3
-10 = a
Replace a to get the final vertex form equation:
f(x) = -10(x − 2)^2 + 3
Convert to standard form:
y = -10(x − 2)^2 + 3
Expand using binomial theorem:
y = -10(x^2 − 4x + 4) + 3
Simplify:
y = -10x^2 + 40x - 40 + 3
y = -10x^2 + 40x - 37
I hope this helps you
Euclid
h^2=4.6
h=2 square root of 6
h^2+6^2=base^2
24+36=base^2
base=2square root of 15
h^2+4^2=height^2
24+16=height^2
height=2 square root of 10
<span>A, 13/52 of the cards are hearts, + three more kings (king of hearts has already gone) = 16/52. divide 16 and 52 by 4 = 4/13.</span>
The answer is 7 feet becaise 0 opp ik
52 inches - 12 inches = 40 inches
amplitude: a = 40 inches / 2 = 20
<span>f(x)=20cos(bx)+c</span>
the value of c is 32... since the centre of the has been moved up 32 units
the minimum amplitude = 32 - 20 = 12
the maximum amplitude = 32 + 20 = 52
<span>f(x)=20cos(bx)+32</span><span>
if the curve takes 6 1/4 hours from low to high tides (9:15 am to 3:30 pm) then it will take 12 1/2 hours to complete a full cycle.
adjust the period by converting 12 1/2 hours to an angle measure.
360</span>°/12 = 30°
30° / 12 = 15°
12 1/2 = 360° + 15° = 375°
f(x) = 20 cos(375°) + 32
f(x) = 20 * 0.97 + 32
f(x) = 19.4 + 32
f(x) = 51.4
