We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that
The vertex form for a parabola that opens up or down is:
f(x) = a(x - h)^2 + k
in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13
we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49
the answer isf(x) = –4*(x-3)² +49
Answer:
y=150+50x
Step-by-step explanation:
Given data
Repair= $150
weekly charge = $50
X=#of weeks and y=total cost.
Hence the expression in slope-intercept form is
y=150+50x
Answer:
D. 2x²
Step-by-step explanation:
Ok, so the first thing to do is remember the first number in parentheses is x, and the second number is y.
You're trying to figure out which expression turns x into y in each set.
Just by plugging in the numbers into each expression I found that the answer is 2x².
I'll prove this starting with (1, 2).
1² = 1
2 x 1 = 2
So, y = 2x²!
Next, (2, 8).
2² = 4
2 x 4 = 8
So, y = 2x²!
I'm not going to demonstrate with the other two but I hope you understand. Just plug the values of x and y into the equation and see which is correct.
1) 9x + 2 = x + 5 ---> 9x + 2 = 6
subtracted X from one side but not the other
2) 3(x-4) + 5 = 12 ---> 3x + 4 + 5 = 12
didn't distribute correctly: 3(x-4)
multiplied the X by 3 but not the -4
