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
24+20=44
4(6+5)=44
the first one
Answer:
The answer to the first one is y
=
4/7
x
−
13
/7
The second one is already in standard form
Step-by-step explanation:
F(6) says “take f(x) = -4x + 11 and put 6 in for every x-value and then clean it up.”
f(6) = -4(6) + 11
= -24 + 11
= -13
f(x) = -1 says “set your function equal to -1 and solve for x”
f(x) = -1
-4x+11 = -1
-4x = -12
x = 3
So f(3) = -1.
