The coordinates of the vertex is .
Further explanation:
Given:
The function is as follows:
Vertex form of the function is as follows:
Definition of vertex form:
The vertex form of a quadratic function is as follows:
…… (1)
Here, is the vertex of the parabola.
The standard form of the quadratic equation is as follows:
If the function is written in vertex form then is the vertex of the parabola and is the axis of symmetry.
Calculation:
To convert the function from standard form to vertex form first convert the function into the complete square form as shown below,
Label the above equation as follows:
......(2)
Compare equation (1) and equation (2) to obtain the value of and .
The value of and are as follows:
Therefore, the vertex of the parabola is at the point .
A direct formula to find the vertex of the parabola is,
The horizontal shift is calculated as follows:
The vertical shift is calculated as follows:
Therefore, the coordinates of the vertex is at the point .
Thus, the coordinates of the vertex is .
Learn more:
1. Learn more about vertex form brainly.com/question/1286775
2. Learn more about quadratic function brainly.com/question/1332667
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Quadratic function
Keywords: Function, vertex form, quadratic function, coordinates, x2+10x-3, f(x) standard form, parabola, vertical shift, horizontal shift, degree 2, highest power is 2, quadratic equation.