y = 2x² + 4x - 10
The axis of symmetry can be found by setting the derivative equal to zero:
y = ax² + bx + c
y' = 2ax + b = 0
x = -b/2a
Or you could just memorize the formula above.
x = -b/2a
x = -4 / (2*2)
x = -1.
10
5x - 10 = -20This equation can be restated as 5x = -10 : x = -2This is the equation of a straight line perpendicular to the x axis and passing through the point x = -2. There is no y intercept and the slope is indeterminate.
An equation?
The equation is -2y + 16 = 10
That word "equals" in there makes it an equation.
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)
By completing the square y = (x+3)2+1 Axis of symmetry and vertex: x = -3 and (-3, 1) Note that the parabola has no x intercepts because the discriminant is less than zero
10
5x - 10 = -20This equation can be restated as 5x = -10 : x = -2This is the equation of a straight line perpendicular to the x axis and passing through the point x = -2. There is no y intercept and the slope is indeterminate.
10
An equation?
The equation is -2y + 16 = 10
If a statement includes an "equals" sign ( = ) then the statement is an equation. By the way . . . it may or may not be a true statement. "10 equals 120" is not true.
That word "equals" in there makes it an equation.
Let's say that 5x + 2y + 3z = 10 is a line (that lives in a three dimensional space. When we let z = 0, the given line is projected on the xy-plane, and it will cut both x- and y-axis. So the equation of the trace line is 5x + 2y = 10. The line cut the x-axis at x = 2, and the y-axis at y = 5.
x = sqrt 100
an equation