Property 3
Parabola is symmetrical in relation to the line x = r
\(r=\samefrac{x_1+x_2}{2}\)
\(r=-\samefrac{\samefrac ba}{2}\)
\(r=-\samefrac b{2a}\)
\(f(r)=k\)
1.
\(\Rightarrow f(x)=?\)
2.
\(\Rightarrow f(x)=?\)
3.
\(\Rightarrow f(x)=?\)
4.
\(\Rightarrow f(x)=?\)
5.
\(\Rightarrow r=?\)
6.
\(\Rightarrow r=?\)
7.
\(\Rightarrow r=?\)
8.
\(\Rightarrow r=?\)
9.
\(f(x)=2x^2-6x-8\)
\(\Rightarrow r=?\)
10.
\(f(x)=-3x^2-6x+24\)
\(\Rightarrow k=?\)
11.
\(f(x)=2x^2-8x+11\)
\(\Rightarrow k=?\)
12.
\(f(x)=x^2+(a+1)x+15\)
\(\Rightarrow k=?\)
13.
\(f(x)=(m+1)x^2+(m-3)x+m-10\)
\(\Rightarrow k=?\)
14.
\(f(x)=mx^2+(2+m)x+2m+8\)
\(\Rightarrow k=?\)
15.
\(f(x)=(a+2)x^2-4(a+2)x\)
\(\Rightarrow a=?\)