Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
Answer:
Step-by-step explanation:
First find factors of 81
3 81
3 27
3 9
3 3
1
81 = 3×3×3×3
81 = 3^4
Taking squareroot
∴ -√81 = -√3^4
= -3^2
= -9
hello :
y = 2(x + 3)² - 5
y = 2(x²+6x+9) -5
y = 2x² +12x +13...(answer : A) y=2x^2+12x+13 )
Option (a) is correct.
The standard form the equation is
Step-by-step explanation:
Given : the vertex form of the equation of a parabola is
We have to write the given equation in standard form and choose the correct from the given options.
Consider the given equation of parabola
The standard form of equation of parabola is
We can obtain the standard form by expanding the square term in the given equation.
Using algebraic identity , we have,
Solving brackets, we get,
Simplify, we get,
Thus, The standard form the equation is
We want to find y from the equation
Multiply each side by (y - 2).
Note that (y-2) in the numerator and denominator cancel out on the left side.
Therefore
3 = 8(y - 2)
3 = 8y - 16
Add 16 to each side.
3 + 16 = 8y - 16 + 16
19 = 8y
Divideach side by 8.
19/8 = y
Answer:
