Answer:
Step-by-step explanation:
1. You can rewrite the quadratic equation as following:
2. To factor it, you must find two number that when you add them you obtain -2 and when you multiply them you obtain -35. These would be 5 and -7.
3. Therefore, you can write the function in the following intercept form:
y = - x +
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 4x + 5 is in this form with slope m - 4
Given the slope of a line m, then the slope () of a line perpendicular to it is
= - (1 / m ) = -
y = - x + c is the partial equation of the perpendicular line
to find c, substitute ( 2, 7 ) into the partial equation
7 = - + c ⇒ c =
y = - x +
← equation of perp. line
The vertex of Parabola is the maximum/minimum point depending on the value of a.
<u>h-value</u>
<u>k-value</u>
The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.
This is Calculus method. We simply differentiate the function then substitute y' = 0.
Substitute f'(x) = 0
Substitute x = -5/2 in the original equation.
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