Table of Contents
How do you find the lowest point of a function?
You can find this minimum value by graphing the function or by using one of the two equations. If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c – b^2/4a.
Which is the graph of y =- X 2?
parabola
Graph of y = x2 The shape of this graph is a parabola.
What is the lowest point of a function called?
The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph. You can think of like an endpoint of a parabola.
What does Y equal x squared mean?
Summary. y = x2 is a quadratic function, which means its graph is a parabola. Quadratic functions have the form y = ax2 + bx + c. Since there is no coefficient in front of the x2, that means we have an invisible 1. So our value for ‘a’ is 1.
How do you find the lowest point of a parabola?
In the graph, the highest or lowest point of a parabola is the vertex. The vertex of the graph of y=x2 is (0,0). If a>0 in f(x)=ax2+bx+c, the parabola opens upward. In this case the vertex is the minimum, or lowest point, of the parabola.
What is the Y value of the lowest point on the graph of the function?
The Minimum of a Function is the y-value of the lowest point of the function.
What is it called when the vertex is the lowest point?
The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.
What happens when you subtract x squared from x squared?
1 Expert Answer Any number minus itself is always zero.
What is the Y Y value at x = 1?
The final answer is − 1 – 1. The y y value at x = 1 x = 1 is − 1 – 1. Create a table of the x x and y y values. Graph the line using the slope and the y-intercept, or the points.
Which is the lowest point on a graph?
The lowest pointon the graph is (1, -1) and is called the vertex. If youdraw a vertical line through the vertex, it will split the parabolain half so that either side of the vertical line is symmetricwith respect to the other side.
Which is the lowest value of a quadratic function?
Vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.
Which is the highest degree in an equation?
[As a review, if the highest degree in an equation is 1, meaningthat the x-term is x1or in the form ax + by = c ory = mx + b, the equation is always linear.] What about a quadratic equation? What are the characteristicsof a quadratic function? Well, if we look at the simplest casewhen a = 1, and b = c = 0, we get the equation y = 1x2or y = x2.