You complete the squares.
y = ax2 + bx + c
= (ax2 + b/2a)2 + c - b2/(4a2)
It if the max or minimum value.
D
The standard form of the quadratic function in (x - b)2 + c, has a vertex of (b, c). Thus, b is the units shifted to the right of the y-axis, and c is the units shifted above the x-axis.
It is a turning point. It lies on the axis of symmetry.
The difference between standard form and vertex form is the standard form gives the coefficients(a,b,c) of the different powers of x. The vertex form gives the vertex 9hk) of the parabola as part of the equation.
look for the interceptions add these and divide it by 2 (that's the x vertex) for the yvertex you just have to fill in the x(vertex) however you can also use the formula -(b/2a)
y=2(x-3)+1
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
To find the vertex of a quadratic equation in standard form, (y = ax^2 + bx + c), you can use the vertex formula. The x-coordinate of the vertex is given by (x = -\frac{b}{2a}). Once you have the x-coordinate, substitute it back into the equation to find the corresponding y-coordinate. The vertex is then the point ((-\frac{b}{2a}, f(-\frac{b}{2a}))).
it is a vertices's form of a function known as Quadratic
It if the max or minimum value.
The vertex.
vertex
Do you have a specific vertex fraction? vertex = -b/2a wuadratic = ax^ + bx + c
The vertex form for a quadratic equation is y=a(x-h)^2+k.
2 AND 9
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.