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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
The equation f(x) = 5x2 - 30x + 6 represents a parabola. What is the vertex of the parabola?
(-5, 281), (5, -19), (-3, 141), (3, -39)
Solution:
Given: f(x) = 5x2 - 30x + 6 is the equation of the parabola
the vertex of a parabola is represented as (h, k)
Where h = -b/2a and k = f(h)
Comparing with general equation ax2 + bx+ c, we get
a = 5, b = -30, c = 6
We know that
x = -b/2a
Substituting the values
x = -(-30)/ 2(5)
x = 30/10
x = 3
Substitute the value of x in the given equation
f(3) = 5(3)2 - 30(3) + 6
f(3) = 45 - 90 + 6
f(3) = 51 - 90
f(3) = -39
Therefore, the vertex of the parabola is (3, -39).
The equation f(x) = 5x2 - 30x + 6 represents a parabola. What is the vertex of the parabola?
Summary:
The equation f(x) = 5x2 - 30x + 6 represents a parabola. The vertex of the parabola is (3, -39).
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