The answer is <span>a.)(x - 4)2 = 3.
(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0
Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0
Thus:
8x = 2ax and a² - b = 13
Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4
Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3
Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
Answer:
B, C
Step-by-step explanation:
Since y=0, you are looking for equations such that 10 times the coefficient of x is the constant in the equation.
a) 5·10 ≠ 15
b) 2·10 = 20 . . . . select this one
c) 10 = 10 . . . . select this one
d) 3·10 ≠ 13
e) 4·10 ≠ 20
f) 6·10 ≠ 50
F(x)=(x-10)^2
Right is negative
Left is positive
Remember that - those become handy later on. Try to become really good at transformations!
Good luck!
The equations standered form is y=-x^2/8-x/2-9/2
