Lesson #4 Minimum & Maximum

• minimum and maximum is the vertex

  • minimum- bottom of the parabola

  • maximum- top of the parabola

• plug the equation in desmos

Examples

• The given equation y=x²-14x+22 relates the variables x and y. For what value of x does the value of y reach its minimum?

  • plug the equation in desmos

  • find the point (x,y) of the min or max which is (7,-27)

  • the answer is 7 because it asks “what value of x”

• f(x)=4x²+64x+262. The function g is defined by g(x)=f(x+5). For what value of x does g(x) reach its minimum?

  • plug in 2 equations into desmos

    • f(x)=4x²+64x+262

    • g(x)=f(x=5)

  • highlight/click on the equation in desmos g(x)=f(x=5) only

  • find its minimum aka the point at the bottom of the parabola, which is (-13,6)

  • the answer is -13 because it’s asking “what value of x”