Arrange the steps for completing the square in order to show that the minimum value of x + 24x + 145 is 1.
(x+ 12)2 +1
x+ 24x + 145 + 144 - 144
(x + 12)+ 145 - 144
(X2+ 24X + 144) + 145 -144
x+ 24X + 145

true

explanation:

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

step-by-step explanation:

there's the chart