Answer:
Look at steps
Step-by-step explanation:
STATEMENT REASON
1. AB = CD; AD = CB 1. Given
2. AC = AC 2. Identity property
(AC is the common side of the two triangles)
3. Triangle ABC = Triangle ADC 3. SSS (Side-Side-Side)
4. ∠1 = ∠4 4. Alternative interior angles are equal (Two lines are parallel and cut by transversal)
5. DC || AB 5. Since alternative interior angles are (Two lines are parallel and cut by transversal)
equal, the lines DC and AB are
parallel by transversal property.
Thank you:)
Answer:
Option (A)
Step-by-step explanation:
Parent function is given as G(x) = x²
If this function is reflected over the x-axis then the new function will be,
G'(x) = -x²
Then shifted 2 units right,
G"(x) = -(x - 2)²
Followed by the shifting of 1 unit down,
F(x) = -(x - 2)² - 1
Therefore, translated function of the given parent function will be,
F(x) = -(x - 2)² - 1
Option (A) is the answer.
Answer:
4x - y = 16
Step-by-step explanation:
y = 2(x – 3)2 - 4
When written in standard form, this will be the answer --->
4x - y = 16
Well, notice, we can pretty much see the x-intercepts if we set f(x) = 0, clearly they're just 6 and -2,
now, this is a quadratic equation, since it only has 2 solutions at most, recall your fundamental theorem of algebra.
so, the vertex will be right in middle of those two x-intercepts.
what's between -2 and 6?, well is +2 or just 2, so
x = 2.
so we know the x-coordinate for the vertex is the halfway point of 2, what's the y-coordinate?
f(x) = y = (
2 - 6)(
2 + 2)
y = ( - 4)( 4 )
y = -16thus the vertex is at, well you already know.