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:
x = 2/3
2/3*3 = 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
point slope form
y + 6 = -3(x - 4)
point slope to y-intercept
y + 6 = -3x + 12
y = -3x + 6
Hello There!
It could be represented by this:
Hope This Helps You!Good Luck :)
- Hannah ❤
Answer:
ok so we know that a triangle is 180 degrees.
so i can take the info and figure out the f,g,d,i all equal 90 degrees so i can figure out that 90+51=141
180-141=39
so angle a is 39
the two bigger triangles are equal and the two smaller ones are equal...
so we know that
a=39
b=62
c=51
d=90
e=39
f=90
g=90
h=28
i=90
Step-by-step explanation: