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QUADRATIC FUNCTION AND DIRECT VARIATION

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