Change the given function to vertex form.
y=2(x−2)^2+1
Write the given statement into mathematical expression. The work done (d) varies directly as the number of men (m) at work.
d=km
Write the given mathematical expression into words. b= kc
b varies directly as c
The use for ≤ or ≥ means that the specified values for a and b are not included.
FALSE
GIVE THE INTERVAL NOTATION OF:
(-∞,−4) ∪ [6,∞)
GIVE THE STANDARD FORM OF QUADRATIC FUNCTION.
f(x)=ax^2+bx+c
If y varies directly as x and y=15 when x=24, find the constant of variation.
k = 5/8
If c varies directly as the square of d, and c=1 when d=4, find the constant of variation.
k = 1/16
The vertical line that passes through the vertex and divides the parabola equally.
Axis of Symmetry
Change the given function to standard form.
y=2x^2 − 8x + 6
If a varies directly as the square of b, and a=6 when b=9, find the constant of variation.
k = 2/27
The graph of a quadratic function is _____.
Parabola
TRUE/FALSE: Inequality is the beginning and ending numbers of interval.
FALSE
y varies directly as x. if y = 12 when x = 4, what is x when y is 36?
x is 12 wheny y = 36
GIVE THE RESULT AND THE INTERVAL NOTATION.
False, True, False - Interval Notation: [-5, 4]
It is a function whose degree is 2 and where y is not always exactly equal to the function
Quadratic Function
Change the given function to vertex form.
y=(x−1)^2−?
It is a situation in which two quantities-such as hours, pay, or distance and time –increase at the same rate.
Direct Variation
Write the given statement into mathematical expression. The weight of an object on earth (E) varies directly as the weight of the same object on the moon (m)
E = km