-4-4-4a (-1)(4+4+4a) (-1)(4)(2+a)
9=4a+13 9-13=4a -4=4a -4/4=a -1=a a=-1
5a or 4a squared
The general equation of a parabola is y = ax2 + bx + c.The vertex of a parabola is (-b/2a, c - b2/4a). In our case the vertex is (2, -4). So we have,-b/2a = 2, so that b = -4a, andc - b2/4a = -4 (substitute -4a for b)c - (-4a)2/4a = -4c = 16a2/4a = -4 (simplify)c - 4a = -4 (solve for c)c = 4a - 4By substituting -4a for b, and 4a - 4 for c, the equation becomes,y = ax2 + bx + cy = ax2 + (-4a)x + 4a - 4Since it is given that when x = -3, y = -3, we substitute them into the new equation and solve it for a. So we have,y = ax2 + (-4a)x + 4a - 4-3 = a(-3)2 + (-4a)(-3) + 4a - 4-3 = 9a + 12a + 4a - 4 (add 4 to both side, and add alike terms on the right-hand side)1 = 25a (divide by 25 to both sides)1/25 = a (this is the required answer)If you want to find the equation of the parabola, just substitute 1/25 for a, such as:y = ax2 + (-4a)x + 4a - 4y = (1/25)x2 + [-4(1/25)]x + 4(1/25) - 4y = (1/25)x2 -4/25x + 4/25 - 4y = (1/25)x2 -4/25x + 96/25
4
4a+3a-4 = 10 4a+3a = 10+4 7a = 14 a = 2
√(4a + 4) = √4(a + 1) = 2√(a + 1).
a2 - 4a + 4
The answer is 4a + 12
If you take the common term 4a out of the expression 16a4 + 4a3, you get 4a(4a3 + a2), making it apparent that if you divide by 4a, the quotient is (4a3 + a2).
4a + 3a = (4 + 3)a = 7a
a+a+a+a = 4a Because there're 4 a's so that equals = 4a