The equation ( y = -x^2 + 2x + 3 ) represents a downward-opening parabola due to the negative coefficient of ( x^2 ). The vertex of the parabola can be found using the formula ( x = -\frac{b}{2a} ), which gives the vertex at ( (1, 4) ). The y-intercept occurs at ( (0, 3) ). Overall, the graph will have its maximum point at the vertex and will symmetrically decline on both sides.
y=aX2+bX+c ---> y=X2-6X+5vertex formula is -b/2a( b=-6,a=1)vertex=-(-6)/2*1=6/2=3 y=32-6(3)+5---->y=-4so vertex is (3,4)
To find the vertex of the quadratic function ( y = x^2 + 6x + 5 ), we can use the vertex formula ( x = -\frac{b}{2a} ). Here, ( a = 1 ) and ( b = 6 ), so ( x = -\frac{6}{2 \cdot 1} = -3 ). To find the ( y )-coordinate, substitute ( x = -3 ) into the equation: ( y = (-3)^2 + 6(-3) + 5 = 9 - 18 + 5 = -4 ). Therefore, the vertex is at the point ((-3, -4)).
The equation is linear and so has no vertex.
(3, -21)
The vertex of the graph Y 3 X-12 plus 2 would be -1/3 and -4/3. This is taught in math.
The vertex of the graph Y 3 X-12 plus 2 would be -1/3 and -4/3. This is taught in math.
The equation ( y = -x^2 + 2x + 3 ) represents a downward-opening parabola due to the negative coefficient of ( x^2 ). The vertex of the parabola can be found using the formula ( x = -\frac{b}{2a} ), which gives the vertex at ( (1, 4) ). The y-intercept occurs at ( (0, 3) ). Overall, the graph will have its maximum point at the vertex and will symmetrically decline on both sides.
y=aX2+bX+c ---> y=X2-6X+5vertex formula is -b/2a( b=-6,a=1)vertex=-(-6)/2*1=6/2=3 y=32-6(3)+5---->y=-4so vertex is (3,4)
y=-2x^2+8x+3
To find the vertex of the quadratic function ( y = x^2 + 6x + 5 ), we can use the vertex formula ( x = -\frac{b}{2a} ). Here, ( a = 1 ) and ( b = 6 ), so ( x = -\frac{6}{2 \cdot 1} = -3 ). To find the ( y )-coordinate, substitute ( x = -3 ) into the equation: ( y = (-3)^2 + 6(-3) + 5 = 9 - 18 + 5 = -4 ). Therefore, the vertex is at the point ((-3, -4)).
The equation is linear and so has no vertex.
one vertex: 3 two vertices: 6 three vertices: 8 total 17
Nothing. Vertices is the plural term from vertex. A vertex is a point where two or more lines meet. They usually terminate (end) there but don't have to. In a 2- or 3-dimensional shape a vertex is a corner.
y = 2x2 + 3x + 6 Since a > 0 (a = 2, b = 3, c = 6) the graph opens upward. The coordinates of the vertex are (-b/2a, f(-b/2a)) = (- 0.75, 4.875). The equation of the axis of symmetry is x = -0.75.
You can do the equation Y 2x plus 3 on a graph. On this graph the Y would equal 5 and X would equal to 0.
x2 + y - 49 = 0y = -x2 + 49First, plot the graph of y = -x2, with a vertex (0, 0), then translate it 49 units up. The vertex becomes (0, 49), which is a maximum point (the parabola opens downward).Or make a table to obtain several corresponding y-values for x = -3, -2, -1, 0, 1, 2, 3. Plot the points (x, y), and draw the graph of y = -x + 49.