ANSWER: symmetric property
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The transformations are vertical translation 7 units up.horizontal translation 3 units to the left
We have given that the equations
let f(x)=x^2 and g(x)=(x-3)^2+7
We have to determine the correct transformation,
<h3>What is the vertical translation?</h3>
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.
Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.
Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.
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On the account with interest compounded annually, the account balance will be
P*(1 +r)^t
4500*1.06³ = 5358.57
so the interest earned will be
5358.57 -4500 = 859.57
On the account with simple interest, the interest earned will be
I = Prt
I = 4500*.06*3
I = 810.00
The total interest earned on the two accounts will be
$859.57 +810.00 = $1669.57 . . . . . . . . selection A
Answer:
2.05 inches
Step-by-step explanation:
V = 4/3 x πr³
36=4πr³/3
36x3= 4πr³
108= 4πr³
108/4 = πr³
27= πr^3
27/π =r³
r=
![\sqrt[3]{27 \div \pi}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27%20%5Cdiv%20%5Cpi%7D%20)
r= 2.048in
round off to 2.05in
<u>PROOF</u>
V = 4÷3 x πr³
V= 4/3 x π(2.05)³
V=4/3 x π8.6
V=4×π×8.6/3
V=108/3
V=36in³
Therefore: radius= <u>2.05 inches</u>
<span>Given the quadratic equation: f(x) = -2x^2 - 2x - 1, the axis of symmetry can be obtained by finding the line that divides the function into two congruent or identical halves. Thus, it should pass through the vertex and is equal
to the x-coordinate of the vertex. </span>
<span>Note that a quadratic
equation in standard form: y = ax^2 + bx + c, has the vertex located at (h,k) where, h = -b/2a and k is determined by evaluating y at
h. In this case, a = -2, b = -2, thus, h = -0.5, k = 0.5. Thus, the vertex is located at (-0.5, 0.5) and the axis of symmetry is at x = -0.5. </span>
