Answer:
f(x) = (x + 3) - 7
Step-by-step explanation:
the original function f(x) = x - 9 is the parent function f(x) = x shifted down 9 units
from f(x) = x - 9, we are told that the function is shifted 2 units up, this is a vertical shift. so we add 2 to -9
-9 + 2 = -7
we now have f(x) = x - 7
next we are told that the function is shifted 3 units to the left<em>. </em>this is a horizontal shift. a horizontal shift looks similar to this:
f(x) = (x ± b)
if a function is shifted to the <em>left</em>, we would use an addition sign. if it was going to the <em>right</em>, we would use a subtraction sign
the function looks like the following when we apply the above knowledge
f(x) = (x + 3) - 7 this would be our new function
Answer: 9.42ft :)
Step-by-step explanation: Your Welcome!!!
Answer:
73
Step-by-step explanation:
Angle JID is supplementary to Angle JIH so:
180- Angle JIH= Angle JID
180-107=73
Angle JID is opposite to Angle AJF(angle x)
Opposite angles are always equal
Angle JID=Angle AJF(x)
73=Angle AJF(x)
Combine like terms.
Simplify the expression from least to greatest.
is the answer.
Answer:
y = -3/4(x - 6)^2 + 3
Step-by-step explanation:
y = ax^2 + bx + c
(4, 0)
16a + 4b + c = 0 Eq. 1
(8, 0)
64a + 8b + c = 0 Eq. 2
(6, 3)
36a + 6b + c = 3 Eq. 3
We have a system of three equations in three variables.
Eq. 2 - Eq. 1
48a + 4b = 0 Eq. 4
Eq. 2 - Eq. 3
28a + 2b = -3 Eq. 5
Eq. 4 - 2 * Eq. 5
-8a = 6
a = -6/8
a = -3/4
48a + 4b = 0
48(-3/4) + 4b = 0
4b = 36
b = 9
16a + 4b + c = 0
16(-3/4) + 4(9) + c = 0
-12 + 36 + c = 0
c = -24
The equation of the parabola is
y = -3/4 x^2 + 9x - 24
y = -3/4(x^2 - 12x + 32)
y = -3/4(x^2 - 12x + 36) + (-3/4)32 - (-3/4)(36)
y = -3/4(x^2 - 12x + 36) -24 + 27
y = -3/4(x - 6)^2 + 3