SOLUTION: What is the vertex of the graph of this function:
y=(x+3)(x-5)
Algebra.Com
Question 164513: What is the vertex of the graph of this function:
y=(x+3)(x-5)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
FOIL
Combine like terms.
In order to find the vertex, we first need to find the x-coordinate of the vertex.
To find the x-coordinate of the vertex, use this formula: .
Start with the given formula.
From , we can see that , , and .
Plug in and .
Negate to get .
Multiply 2 and to get .
Divide.
So the x-coordinate of the vertex is . Note: this means that the axis of symmetry is also .
Now that we know the x-coordinate of the vertex, we can use it to find the y-coordinate of the vertex.
Start with the given equation.
Plug in .
Square to get .
Multiply and to get .
Multiply and to get .
Combine like terms.
So the y-coordinate of the vertex is .
So the vertex is )
.
RELATED QUESTIONS
In the graph of the function y= |x-5|+3, what are the coordinates of the... (answered by jim_thompson5910)
graph the function - label vertex and axis of symmetry
y=-(x+3)^2 + 5
(answered by mathie123)
Identify the vertex and the y-intercept of the graph of the function y = -3(x + (answered by stanbon)
Identify the vertex and the y-intercept of the graph of the function y=-3(x+2)^2... (answered by Fombitz)
What is the vertex of the graph of y=2(x-3)(x+1)
What is the vertex of the graph of... (answered by Mathtut)
sketch the graph of the function. label the vertex.... (answered by jim_thompson5910,mducky2)
What are the coordinates of the vertex of this graph?... (answered by longjonsilver)
vertex standard form?
1. y=x^2-4x-5 ?put this function in the form y=a(x-h)+k.
2.... (answered by mathnuts)
1. Re–write this quadratic equation from vertex form into standard form:
y = (x – 4)^2 (answered by ikleyn)