Question

#21
describe the transformation of the graph of the parent quadratic function to the graph of f(x)= - 2x² + 5.
identify the vertex.
vertex: ( )
0 / 10000 word limit

Explanation:

Step1: Recall vertex - form of quadratic function

The vertex - form of a quadratic function is $y = a(x - h)^2+k$, where $(h,k)$ is the vertex of the parabola. For the function $f(x)=-2x^{2}+5$, we can rewrite it as $f(x)=-2(x - 0)^2+5$.

Step2: Identify the vertex

Comparing with the vertex - form $y = a(x - h)^2+k$, we have $h = 0$ and $k = 5$. So the vertex of the parabola $y=-2x^{2}+5$ is $(0,5)$.

Answer:

$(0,5)$