Answer:
Algebra Examples
Popular Problems Algebra Find the Axis of Symmetry f(x)=x^2-5 f(x)=x2−5 Set the polynomial equal to y to find the properties of the parabola. y=x2−5
Rewrite the equation in vertex form.
y=(x+0)2−5 Use the vertex form, y=a(x−h)2+k, to determine the values of a, h, and k.a=1h=0k=−5
Since the value of a is positive, the parabola opens up.
Opens Up
Find the vertex
(h,k).(0,−5)
Find p, the distance from the vertex to the focus.
14 Find the focus.
(0,−194)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=0
-5x^5 * -8x^4 - 5x^5*-9x - 5x^5*-9
= 40x^9 + 45x^6 + 45x^5
The answer is <span>c. 16x2 + 24xy + 9y2.
Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.
So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x
b² = 9y²
b² = (3y)²
b = 3y
a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT
d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x
b² = 10y²
b² = (y√10)²
b = y√10
a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT
So, c) is correct answer
