# Is vertex form the same as factored form?

## Is vertex form the same as factored form?

Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

### How do you convert intercept form to vertex form?

Using the standard equation of y=ax^2+bx+c, find the x value of the vertex point by plugging the a and b coefficients into the formula x= -b/2a. Substitute the found value of x into the original equation to find the value of y. The values of x and y are the coordinates of the vertex.

How do you find the vertex form?

While the standard quadratic form is a x 2 + b x + c = y , the vertex form of a quadratic equation is y = a ( x − h ) 2 + k . In both forms, y is the y -coordinate, x is the x -coordinate, and a is the constant that tells you whether the parabola is facing up ( + a ) or down ( − a ).

How do you change standard form to vertex form?

How do you change standard form to vertex form? To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a (x – h)2+ k, you use the process of completing the square. Let’s see an example. Convert y = 2×2 – 4x + 5 into vertex form, and state the vertex. Equation in y = ax2 + bx + c form. Click to see full answer.

## How to put vertex form into standard form?

(h,k) is the vertex

• If a is positive then the parabola opens upwards like a regular “U”. (same as standard form)
• If a is negative,then the graph opens downwards like an upside down “U”. (same as standard form)
• If|a|< 1,the graph of the parabola widens.
• If|a|> 1,the graph of the graph becomes narrower (The effect is the opposite of|a|> 1).
• ### How do you convert into vertex form?

Group the x’s together X^2+24

• Create a space between the second and third term. X^2+24 -1 =f (x)
• Now complete the square,by taking the b term (second term) and half it and square it.
• Take the term from step 3,and write this term,and the negative value of the term in the space created in step 2.
• What is the formula for vertex form?

(h,k) is the vertex as you can see in the picture below

• If a is positive then the parabola opens upwards like a regular “U”.
• If a is negative,then the graph opens downwards like an upside down “U”.
• If|a|< 1,the graph of the parabola widens.
• If|a|> 1,the graph of the graph becomes narrower (The effect is the opposite of|a|< 1).