Question

Drag the tiles to the correct locations on the table. Not all tiles will be used.Match each quadratic function with the attributes of its parabolic graph.

Answer 1

Given

Quadratic function

`\begin{gathered} a)f(x)=-0.3(x-2)^2+5 \\ b)f(x)=0.2(x+2)^2+5 \end{gathered}`

Find

Match each quadratic function with the attributes of its parabolic graph.

Step-by-step explanation

a)

`f(x)=-0.3(x-2)^2+5`

compare equation with the following form

`y=a(x-h)^2+k`

where (h , k) be a vertex

focus is (h , k + 1/4a)

axis of symmetry is x = h

a) so , on comparing we obtain

vertex is (2 , 5)

focus is ( 2 , 5 + 1/4(-0.3)) = (2 , 4 1/6)

axis of symmetry x = 2

b) for equation b)

vertex is (-2 , 5)

focus (-2 , -3 3/4)

axis of symmetry = -2

Final Answer

Therefore ,

for equation a)

correct options are A , E and I

for equation b)

correct options are B , F and G