Respuesta :
Answer:
(3,1)
Step-by-step explanation:
y=-4x^2+24x-35
x-intercept of the vertex formula:
v=-b/2a
a=-4
b=24,
c=-35
v = - 24/2(-4)
v = -24/-8
v = 3
substitute x as v
y= -4(3)^2 + 24(3) - 35
y= -4(9) + 72 - 35
y = -36 +72 - 35
y = 36 - 35
y = 1
therefore the vertex is
(3,1)
Answer:
vertex = (3, 1 )
Step-by-step explanation:
Given a parabola in standard form : ax² + bx + c : a ≠ 0
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = - 4x² + 24x - 35 ← is in standard form
with a = - 4 and b = 24, thus
[tex]x_{vertex}[/tex] = - [tex]\frac{24}{-8}[/tex] = 3
Substitute x = 3 into the equation for corresponding value of y
y = - 4(3)² + 24(3) - 35 = - 36 + 72 - 35 = 1
Vertex = (3, 1 )
