Solve with steps.

the missing text on the photo:

the graph of y=a(x-h)^2 + k is shown alongside.
a) find the value of h.
b) find the values of a and k by solving simultaneous equations.

a) h = 2

              b) a =     k =

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k     where

The graph shows the axis of symmetry at x = 2, therefore, the x-coordinate of the vertex (h) is 2.

Two points are given: . We can use these points to create two equations and then solve the system to find the a and k-values.

y = a(x - 2)² + k

Solve for k:

there is no image or shapes attacted

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.