Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
Answer:
BC~=AD (GIVEN )
CBA=CDA (altanate angles BC=AD)
C=A (altanate angles (BC=AD)
AAS
brainyliest please
Answer:
y + 2 = -0.069(x-+5)
Step-by-step explanation:
SInce the two lines intersects, we will equate it
Multiply x + 3y = 0 by 4;
4x + 12y = 0
4x-4y-13 = 0,
Subtracts both
12y +4y + 13 = 0
16y = 13
y = 13/16
get x;
x + 3(13/16) = 0
x = -39/16
The point of intersection is (0.8, -2.4) and (-5,-2)
Get the equation;
m = y2-y1/x2-x1
m = -2+2.4/-5-0.8
m = 0.4/-5.8
m = -0.069
Get the equation;
y - y0 = m(x-x0)
y - (-2)= -0.069(x-(-5))
y + 2 = -0.069(x-+5)
Answer:
The answer is 36.
Step-by-step explanation:
36
/\
6 6
/\ /\
3 2 3 2
Answer:
Square root of 35 or 5.9160797831
Step-by-step explanation: