Answer:
Step-by-step explanation:
Answer:-1 over 2.
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=2(x-8)(x+2)
The x intercepts occur when y=0, so when x=8 and -2
The vertex is where the equation is at a minimum/maximum in this case (x,y)=(3,-50)
The axis of symmetry occurs between the two roots, 8 and -2 which x=3
The y intercept is the value of y when x=0, in this case (0, -32)
This looks like an ellipse.
Complete the square for y: 9(y²-6y-7)=9(y²-6y+9-9-7)=9((y-3)²-16).
Rewrite the equation:
4x²+9(y-3)²-144=0; 4x²/144+9(y-3)²/144=1; x²/36+(y-3)²/16=1.
Standard equation of an ellipse is (x-h)²/a²+(y-k)²/b²=1, where (h,k) is the origin or centre.
This is the equation of an ellipse with centre (0,3), a=6 and b=4 (semimajor and semiminor axes).
