Question

Graph the quadratic function by transforming the graph of f(x) = x^2. Give the minimum or maximum

vertex value and the equation for the axis of symmetry.

Answer 1

Answer: the maximum is (-2,5 )and the equation for the axis of symmetry is x = -2

Explanation if you want:

for the min and max: when a quadratic has a maximum point, that is the largest point that it will ever be at. When it has a minimum, that is the smallest.

• the +5 tells us that we have an upward movement of 5. The +2 means we actually move to the point -2. bc: (x+2)=0 = -2
• so, from our initial function, those are the changes.

for the axis of symmetry: basically, this is the line that splits the graph into two equal parts.

• it is the line that goes through the vertex (which we already know is (-2,5).

there u go