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-b/2a. i think.
To show this, consider this equation:
y = ax² + bx + c
Factor out the a:
y = a(x² + bx/a + c/a)
Then, complete the squares to get:
y = a(x² + bx/a + (b/(2a))² + c/a - (b/(2a))²)
= a((x + (b/2a))² + c/a - (b/(2a))²)
= a(x + (b/2a))² + c - b/(4a)
By the vertex form:
y = a(x - h)² + k where x = h is the axis of symmetry.
So the general axis of symmetry for the quadratic equation is x = -b/(2a).
What else can I help you with?
What is the formula for the axis of symmetry of any quadratic in standard form?
It is y = -b/(2a)
What is axis of symmetry?
What is axis of symmetry? the axis of symmetry is a line that divides a planar figure into two congurent reflected halves
The equation for the axis of symmetry is?
Your equation must be in y=ax^2+bx+c form Then the equation is x= -b/2a That is how you find the axis of symmetry
What is an equation of the axis of symmetry of the parabola represented by y equals -x2 plus 6x-4?
Line of symmetry: x = 3
What are the vertex and the axis of symmetry of the equation y equals 2x² plus 4x - 10?
In the form y = ax² + bx + c the axis of symmetry is given by the line x = -b/2a The axis of symmetry runs through the vertex, and the vertex is given by (-b/2a, -b²/4a + c). For y = 2x² + 4x - 10: → axis of symmetry is x = -4/(2×2) = -4/4 = -1 → vertex = (-1, -4²/(4×2) - 10) = (-1, -16/8 - 10) = (-1, -12)
Which letter is key in finding the axis of symmetry?
The key letter in finding the axis of symmetry for a quadratic function in the standard form (y = ax^2 + bx + c) is (b). The axis of symmetry can be calculated using the formula (x = -\frac{b}{2a}), where (a) is the coefficient of (x^2). This formula provides the x-coordinate of the vertex of the parabola, which is also the line of symmetry.
What is the formula for the axis of symmetry of any quadratic in standard form?
It is y = -b/(2a)
How many axis of symmetry in a pentagon?
5 symmetry axis
Which point of parabola is on the axis of symmetry?
Its extremum is on its axis of symmetry.
What is axis of symmetry?
What is axis of symmetry? the axis of symmetry is a line that divides a planar figure into two congurent reflected halves
How many axis of symmetry have a circle?
there are 4 axis of symmetry in a circle
What are some examples of symmetry in math?
The axis of symmetry. Which is a line that you can reflect two functions of off the axis of symmetry.
What is an axis of symmetry?
An axis of symmetry is any of one or more lines about which a geometric figure is symmetrical.
What is a diagonal line of symmetry called?
Axis of symmetry.
Does a can of soda have both axis of symmetry and plane symmetry?
If you ignore the print, then it has a plane of symmetry (possibly) but not an axis of symmetry. If you ignore the print and the "pop-top" part, then it has both.
How do you find the axis of symmetry of the quadratic function.?
The axis of symmetry of a quadratic function in the form (y = ax^2 + bx + c) can be found using the formula (x = -\frac{b}{2a}). This vertical line divides the parabola into two mirror-image halves. To find the corresponding (y)-coordinate, substitute the axis of symmetry value back into the quadratic function.
What is the axis of symmetry of a quadratic equation?
If a quadratic function has the points (-4,0) and (14,0), what is equation of the axis of symmetry?
